Algebra Trigonometry

Algebra Trigonometry Trigonometry is the branch of algebra II. Algebra trigonometry deals with all of the trigonometric ratios and these trigonometric ratios are very much useful when you are dealing with the triangles and the unit circles. There are three main trigonometric ratios which exist in trigonometry and they are sin, cos and tan. The other three ratios are the reciprocal of the main ratios which are csc, sec and cot. They are outlined below: - Cot x = 1/ tanx Sec x = 1/cos x Csc x = 1/ sinx There are few basic angle values that is needed to be remembered, they are 0 degrees, 30 degrees, 45 degrees, 60 degrees and 90 degrees. We have various trigonometric identities that are required to solve many of the trigonometric equations. We can see many examples of trigonometry in our day to day life. Following are the few examples which are based on the algebra trigonometry. Example 1: Find the value of tan 225 degrees. Solution : Given: - tan 225 degrees = tan (180 + 45) degrees = tan 45 degrees = 1 Hence the value of tan 225 degrees is 1. Example: Prove that (sinx + cosx)^2 = 1 + sin 2x Solution : - Given the left hand side as (sinx + cosx)^2 After expanding, we get sin^2 x + cos^2 x + 2sinx cos x = 1 + 2 sinx cosx [ sin^2 x + cos ^2 x = 1] = 1 + sin 2x [sin 2x = 2 sin x cos x]

How to Avoid Vocal Cord Injury

How to Avoid Vocal Cord Injury Taking Care of Your Vocal Cords; How to Avoid Injury ChaptersSinging: The Risk of LaryngitisSinging: The Risks of DysphoniaTaking Care of Your Voice Through LifestyleOther Vocal Problems for Singers“Without music, life would be a mistake.” - Friedrich NietzscheIf you want to not go hoarse, lose your voice, or avoid inflammation of the larynx or throat, you need to take care of your vocal cords.Around a quarter of us overuse our voice at work: tourist guides, lawyers, teachers, singers, etc. The majority of teachers have problems with their voice. Women are four times as likely as men to suffer.When you sing, a benign condition could cost you your voice.  So what about when you sing? What are the risks of singing on your voice?While singing isn't inherently dangerous, like almost everything else, there are risks that you need to manage. In this article, we’re looking at how to take care of your voice, laryngitis, dysphonia, and how lifestyle can affect your voice. TraceySinging Teacher 4.92 (13) £25/h1st lesson free!Discover all our tutors PortiaSinging Teacher 4.91 (11) £35/h1st lesson free!Discover all our tutors NicolaSinging Teacher 5.00 (11) £40/h1st lesson free!Discover all our tutors JazzSinging Teacher 5.00 (6) £40/h1st lesson free!Discover all our tutors PerrineSinging Teacher 5.00 (3) £50/h1st lesson free!Discover all our tutors TiemSinging Teacher £40/h1st lesson free!Discover all our tutors TomSinging Teacher £25/h1st lesson free!Discover all our tutors MiriamSinging Teacher 5.00 (4) £35/h1st lesson free!Discover all our tutorsSinging: The Risk of LaryngitisAfter concerts or singing lessons, singers often lose some of their voice or suffer irritations in their throat, larynx, or pharynx. The last thing you want is laryngitis. (Source: darwisalwan)When singers (or any other person who uses their voice as part of their work) has a bad vocal technique, they can end up breaking their voice or altering the timbre of their voice.  This comes from overexerting your voice and results in laryngitis, an inflammation of the vocal cords. This isn’t an illness but rather a condition from vocal fatigue that weakens the voices and makes it harder to correctly vibrate your vocal cords.Laryngitis can be caused by several factors: a lack of sleep, smoking, diet, stress, overworking, or a bad posture when singing.  This can result in reduced pressure from the lungs and reduced intra-glottic pressure, which is necessary to vibrate the vocal cords. It can feel like a veil covering your voice.While the vocal cords are intact, the singer will need to strain their vocal cords to keep singing, worsening the vocal fatigue which can lead to nodules on the vocal cords.In certain cases, they m ay contract chronic laryngitis, persistent inflammation of the vocal cords which can deepen the voice.If they keep singing, the singer is at risk so they should consider seeing a doctor or ENT specialist. Speech therapy for singers is a good way to recover.  Otherwise, they run the risk of dysphonia or end up with a hoarse voice.It’s quite simple to understand if you think of it in the same way an athlete rests to avoid injury. It can be quite difficult to convince someone who’s a little hoarse to get singing lessons London to avoid ruining their voice, though.Singing: The Risks of DysphoniaDysphonia can arise from excessive use of your voice and affects every acoustic aspect of it. A cup of herbal tea is good for your voice. (Source: dungthuyvunguyen)There are three main ways that dysphonia can affect your voice:Your timbre becomes hoarser, broken, or rougher.Your voice becomes deeper or higher.Your voice becomes week and your voice tires more quickly.Dysphonia is a risk for any singer since they regularly exert their voice for long periods.  It usually occurs following a vocal cord injury, nodules, polyps, cysts, ulcers, vocal flap paralysis, or laryngitis.After you’ve overexerted your voice, a litre of water isn’t going to cut it; you’ll need to see a speech pathologist.  This can often happen to beginners.Let us explain. Many of us like having a little sing-song in our everyday lives, be it in the car, around the house, with our friends or family, etc., but very few of us are professional singers.  While we can imitate a singer, not many of us can perfectly modulate our voices.Professional singers and singing teachers who’ve been through auditions an d training will know what they need to do to avoid irritating their vocal cords.On the other hand, an amateur singer mightn’t know of the damage they’re doing to their voice when they sing.  Without singing lessons, you may strain your voice, resulting in dysphonia.Similarly, don’t self-medicate. There are natural remedies such as herbal teas, hot water with honey, eucalyptus or liquorice pastels, and essential oils you can use. However, if it lasts longer than a week, see a professional.Learn about techniques for your voice.Taking Care of Your Voice Through LifestyleWe regularly read that diet, avoiding smoking and drinking too much alcohol, and regularly exercising are all great ways to stay healthy. The same is true for keeping your voice healthy. Even a bad's night sleep can affect your voice. (Source: Pexels)Tobacco is bad for your respiratory system and your whole body.  It can also lead to inflammation of the vocal cords.  If you sing and smoke, you can strain your vocal cords more quickly than a non-smoker.You also need to hydrate, which means drink at least a litre of water per day to ensure your vocal cords don’t dry out. Dehydration is a quick way to tire the vocal cords.Singers, regardless of their level, need to take care of their vocal cords:Sleep in a well-ventilated area that’s free of dust.By a humidifier to humidify the air.Avoid shouting.Spend long periods in silence.Wear a scarf.Use honey, lemon, or eucalyptus pastels.Drink lemon juice.Protecting against variations in temperature is a way to avoid a sore throat (air conditioning in summer) or a sore throat and coughing in winter.  It’s a good idea to cover your throat and wear a scarf in the winter months and avoid contracting viral infections such as co lds or bronchitis.Opt for herbal teas over alcoholic beverages and exercise regularly to increase your lung capacity and vocal endurance.  Avoid acidic or spicy foods which will reduce acid reflux, which can negatively affect the voice. Similarly, singers should also avoid carbonated drinks.In addition to the food we eat, you also need to avoid living a hectic life, which can be difficult if you’re a performer.  A professional spends long times travelling with little rest: travelling from town to town, recording sessions, makeup and wardrobe, interviews, press conferences, etc., which isn’t great for your voice. Professional singers have to rest their voice whenever they can.Easier said than done!Check out our tips for looking after your voice.Other Vocal Problems for SingersResting your voice is a good way to help your voice recover but some issues may last longer. In some cases, you may end up with a severe vocal injury or worse.  This can include cancers of the larynx, vocal cords, or throat.If you’ve been hoarse for over a week, you should consider consulting a speech pathologist or ENT specialist since tumours aren’t necessarily painful. Don’t wait until it’s too late.In any case, an ENT doctor can take a look at your throat and vocal cords if you’ve been having problems. A speech pathologist can help with your voice, swallowing, and problems with speech. Be it an appraisal, checkup, or surgery in the event of problems, they can help.Keep in mind that singing isn’t dangerous. You just need to take care of your instrument and lessons can help.If you want to work on your voice and improve your singing, you might want to consider getting a vocal coach or private tutor on Superprof. They can help you improve your singing, take care of your voice, and provide bespoke singing tuition. There are three main types of tutorials on offer and each one comes with some advantages and disadvantages.Face-to-face private tutorials are just between you and your tutor. The sessions will be tailored to you, your needs, and your strengths and weaknesses. Of course, since the tutor will be dedicating a lot of time to you and your tutorials as well as tailoring them to your needs, this type of tutorial tends to be the most costly. However, it's also the most cost-effective.Thanks to the internet, webcams, and video conferencing software, you can also get online tutorials. Again, these tutorials are just between you and the tutor with the main difference being that you're not in the same room. With fewer travel expenses and the ability to schedule more tutorials each week, the tutor can charge a more competitive rate for these tutorials.Finally, there are group tutorials. These are more like your traditional classes with several students and one teacher. The cost of the tutor's time is shared between all the students in the class so you can expect to pay less per hour for these tutorials. Unfortunately, this means the tutor can't spend as m uch time focusing on you and your singing technique.

How to Come out of Struggling in Math - Here are Some Tips

How to Come out of Struggling in Math - Here are Some Tips 0SHARESShare You need to concentrate on Math to go ahead with good academic pursuits. Still, doing Math without struggle is mind boggling. How to come out of struggling in Math? First, strengthen your fundamental knowledge of Math concepts. This helps you gain confidence and some standing support to stick to Math doing with a boosted morale. You can choose some online refresher course to brush up your Math memory before entering Middle school or High school. Next, concentrate well on your homework part-it is the one that brings the advantage of repetitive exercise doing in Math to make you thorough with the subject. Homework struggle should not be a constant problem for you; otherwise, it will cause mental tension and stress. You would be in a dilemma to arrive at the right answers in haste without going by proper steps. Online homework help is an asset in such situations, since it clarifies doubts and inculcates confidence in student mind. When you enter high level of Math learning, it is good that you seek some online help right from the beginning to keep your mind steady and get your spirits fine. It proves highly beneficial in the case of Probability help or Calculus help when students try to know the concepts of those areas for the first time. Tutor Pace. Com provides Math tutors who extend their help to learn Math without struggle. [starbox id=admin]

Tutor pace; trains the busy Brains

Tutor pace; trains the busy Brains 0SHARESShare We specialize in the art of training the young brains to meet the challenges of today’s tough study environment. Loads of information is to be digested in a short period of time and with limited time resources. We specialize in fine tuning the young minds with simple techniques. We share information on how to define the thought process, way to measure the difficulties, way to analyze the tricky problems, way to implement easy solutions and verify the results. The information inputs cover interesting facts and figures related to science and mathematics of the school and college standards and are presented in a lucid manner. The solved examples help the child to find the right ways of tackling a problem thereby increase the self-confidence. The scientific approach trains the brains to unlock the secrets of learning and establishes a tall order for the kids. This takes away the worries from the busy parents regarding the educational anxiety and makes the child enjoy e- lea rning, just like another exciting hobby. Learning the subjects through plenty of visuals, models and solved examples creates an interest in the child to excel in the class. The online help is also supported by face to face to interactions through the computer terminals. All these come to you at your place, at your time, at a reasonable rate. The experts are available 247 to lift your child’s performance from ordinary to extra ordinary levels in a short span through online and personal communications. Start early to enjoy the early bird incentives! [starbox id=admin]

Prepare for SAT Test Online in 3 Easy Steps

Prepare for SAT Test Online in 3 Easy Steps 0SHARESShare It is easy to take a SAT test but students often find it difficult to do SAT preparation online. There are various reasons to this such as unawareness about online tutoring facility and time required for other activities. Let us note the following 3 easy steps to prepare for SAT test / other competitive exams such as ACT test: Identify  your objective to go to college First things first, why do you want to go to college? The reasons are many; well pick those that matter to you the most. Then try and relate these reasons to your perception about the SAT test and you will see that your mind expands to maintain a positive balance between ‘what is required’? And ‘what is done?’ Identify your training essentials   You need training to appear for SAT test, hence focus on your training essentials. Stick to the plan as long as value is being added to your candidature. If you diverge from the path it is not going to work. Identify your existing priorities Be sure about what you want to achieve in the current week, current months and current year. Start small and build on that. By thinking about small goals and achieving will increase your confidence. Once the confidence is developed appearing for the test becomes easier than you think. [starbox id=admin]

4 Tips to Make a Good Impression on a Campus Tour

4 Tips to Make a Good Impression on a Campus Tour If you plan to attend university, you have perhaps scheduled a campus tour or two to begin exploring collegiate life in person. These experiences are important, as they allow you to interact with current students, pose questions, and begin to make the academic and social adjustments needed for higher education. Embarking on a campus touris a fantastic way to determine whether a particular school is a positive fit for youbut it is also your opportunity to stand out from other candidates. 1. Prepare This may seem obvious, but researching a college or university before you arrive is advantageous. Knowing a schools enrollment, major achievements, and even its mascot will distinguish you from less prepared individuals. Admissions officers love students who are proactive about scheduling their own tours, knowledgeable about the college or university, and punctual. Also ensure you dress professionally. These are the top ten tips for college campus visits. Collect business cards or contact information from everyone who helps youyou will want to send thank you cards when you return home. You will remain in their minds, and your gratitude will not go unnoticed. 2. Ask questions If you have done some basic research on the school, you will also be able to ask better questions on your campus tour. It is okay to inquire about anythingacademics, community, student life. But demonstrate some familiarity with the college or university, and be appropriate. You can also make a good impression by taking notes. Obviously, you have asked a question because the answer is important to you. Note-taking shows you are serious, and it will also allow you to compare schools later in your decision-making process. You may also want to check out these 6 things to look for on a college tour. 3. Participate It is a wonderful idea to be an active participant in the campustourbefore, during, and after. Scheduling your own visit shows your interest and independence, asking questions demonstrates your ability to assimilate into the schools environmentbut what should you do after? Utilize what you have learned on the college tour to make appointments with others on campus. The admissions office is an excellent place to begin, as they will be able to put a face to your application after meeting you. You can also ask admissions representatives questions and again foster a goodimpression. Consider meeting with a professor or department chair in the major you are interested in. He or she can provide specific, helpful advice. Plus, you will have a connection if you choose to attend that school. Here are a few top questions to ask at a campus information sessionthat may be useful to you. You can also sit in on a class, speak with students, attend a sporting event, or participate in a club meeting to show your interest and help you make your decision. 4. Write an elevator speech Finally, compose an elevator speech for the meetings you will attend. If you are unfamiliar with this term, it refers to a one-minute speech you give by way of introductionas though you were simply sharing in an elevator and had very little time. Your speech should address your interest in the college and a possible major (no one expects you to commit to a subject 100%). It should also be compelling and memorable, though you should avoid rambling. Above all, make a good impression and leave them hoping that you will return as a student!

Two Codes for Success in College and in Life (According to College Board)

Two Codes for Success in College and in Life (According to College Board) Last month, Thomas Friedman reported on College Board’s commitment to emphasizing the most empowering content areas and skills in the vast array of coursework and testing that they develop. According to David Coleman (Chief Operating Officer) and Stefanie Sanford (Chief of Global Policy and External Relations), for the last few years College Board has focused on two crucial codes: the U.S. Constitution and computer science. What is behind this focus and what does this mean for students? The College Board executives explain it pretty well: “If you want to be an empowered citizen in our democracyâ€"able to not only navigate society and its institutions but also to improve and shape them, and not just be shaped by themâ€"you need to know how the code of the U.S. Constitution works. And if you want to be an empowered and adaptive worker or artist or writer or scientist or teacherâ€"and be able to shape the world around you, and not just be shaped by itâ€"you need to know how computer s work and how to shape them.”The first code, that enshrined by the U.S. Constitution into legal code, is crucial as it applies to all of us and dictates the way society is run. Furthermore, the lively debate and differing readings of the same document offer intellectual challenge and opportunity for students of the law and of history. Our history and social science experts are here to support students who are making their first foray into the workings of legal and government systems in classes like AP U.S. History, AP U.S. Government, or AP Economics.The second code, the kind used by computer scientists, has broad and growing applications in technological and non-technological industries alike. It is clear to us in the Bay Area how computer science has gained a key role in California, the United States, and around the globe as tech companies grow in power and importance. Our AP Computer Science wizards can give students a leg up on some of the most cutting-edge and challenging sk ills and curricula offered at Bay Area schools. Whether it’s to support with a tough class or learn a new programming language over the summer, AJ Tutoring can help.As part of College Board focus, the SAT itself often features an excerpt from a founding document or other form of political writing or speech. Thus, paying attention in AP US History or AP US Government can pay off on the SAT, not just the AP exams! Our SAT experts can also help explain the most important comprehension strategies, which aid in breaking down dense language quickly and efficiently. Please reach out to us today to learn more about how we can help your student master the most important codes for success in today’s world!

Common Wrong Answer Choices on the SAT and ACT Reading

Common Wrong Answer Choices on the SAT and ACT Reading ACT SAT Prep and College Admissions Blog Many to-be ACT and SAT takers absolutely dread the Reading section for a series of totally fair reasons. The passages can be mind-numbingly boring. Questions about tone and author’s purpose seem cruelly subjective. So many of the questions have various answer choices that seem fine. The fact of the matter is that Reading sections on standardized tests tend to be more intimidating than they are legitimately difficult. Sure, the people who write these tests design the Reading section to be dry, but they also write questions and answer choices following some easily identifiable tropes and patterns. Oh, by the way, real people write these exams! There are only so many tricks that test writers have available when coming up with incorrect answer choices. This guide will help you identify the answer choices you should be suspicious of, helping you feel more in control when confronting an unfamiliar reading passage. But First: Why Identify Common Wrong Answer Choices? Many test takers tend to approach the reading comprehension questions on a standardized test the same as they would ordering lunch. They read through all of the whole menu of options for each question and then choose the one that seems most appealing. The people who write these tests hope that’s exactly what someone taking the test will do. A big part of their game is providing test takers with a number of answer choices that look appealing on first glance. Basically, the people who write these tests are banking on the fact that you know the clock is ticking and you have to choose whatever you think is the best choice fast enough in order to get a shot at the remaining questions. Identifying common wrong answer choices is a great way to beat these standardized tests at their own games. Sometimes, this will help you choose between two answer choices that look equally appealing. Sometimes, it will help you make snap judgements on a question you find really difficult, and therefore help you increase your chance of guessing correctly by eliminating an answer choice you know likely isn’t correct. Identifying common wrong answer choices helps a lot as part of a good process of elimination strategy. Common Wrong Answer Choices, Explained Too extreme: This can apply to questions asking you to describe characters in a story or ones asking you to draw conclusions about a study described in an expository passage. Take answer choice B in this problem: Scary things come to mind when you hear global catastrophe. Always ask yourself if it’s easier to support the more extreme answer choice or the less extreme one. Here we also have answer choice D, which reads political problem. A more extreme â€" and therefore harder to prove â€" statement is not as good of an answer as an equally accurate and more flexible one. Generalizations: Similarly, beware of answer choices that allow for too much interpretation. You will need to choose an answer that is reasonably specific. Answer choice A from this question is a good example of such a generalization: The phrase “always largely fictitious” sticks out like a sore thumb. Always is in and of itself a generalization and you want to be wary of any answer choice that starts that way. Always is hard to support unless explicitly stated in the page. Even worse, though, is this part of the phrase largely fictitious. What does that even mean? Is it totally fictitious or largely, but not entirely, fictitious? How could something be always mostly but not entirely fictitious? Half right means all wrong: Watch out for answer choices that contain some valid information alongside something that doesn’t really match the passage. These tend to be the most tempting wrong answer choices, since they look appealing when you’re just trying to pick something and move on. This is a hard one to provide an example question for since you really need the context of the passage. But remember, if just part of an answer choice can be supported by the passage, it should always be tossed out in favor of an answer choice that can be entirely supported by a passage. The better answer choice should be the one that’s hardest to eliminate. Off-topic: Sometimes an answer is bad because it really has nothing to do with the question being asked or the information in the passage. Looking for this type of common wrong answer choice can prove helpful on science-oriented passages, where lots of jargon and unfamiliar science concepts make things confusing. Consider this one: The question asks about small comets, but answer choice A talks about the sun and electricity. It doesn’t make any sense that electricity or the sun would have anything to do with comets, so you can just eliminate that one. Definition is too literal: This one will either apply to vocabulary in context questions or to ones asking what a phrase means. Take this question: Without having read the passage, the most alluring answer is B, since a movie projected in a dark theater is “a show in light.” That’s why this answer choice is here! It doesn’t actually make sense given the passage, but if you skimmed or didn’t really understand what happened in the story then it might make some sort of sense to you. Avoid answer choices that define a word or phrase too literally without any support from the passage. Conclusion Being able to identify common wrong answer choices is an important part of your overall test taking strategy. This skill will improve your time, your accuracy, and lessen stress. When you're able to glance at previously confusing and distracting answers and identify them as incorrect right away, that's one less obstacle to overcome on your way to a fantastic SAT and/or ACT score. About the Author Mike S. is one of our most experienced test prep tutors. Click below for moreinformation on our SAT/ACT test prep packages: SAT ACT