Engineering Entrance
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JEE Main
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JEE Main & Advanced
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Mathematics
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Trigonometry
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academic
Trigonometry, a branch of mathematics, basically deals with triangles and angles. Many students think that this subject is difficult to understand. For Beginners,it is essential for a student to believe in himself as well as encourage himself to do excel in this subject. There are some initial the steps below that will help you to learn Trigonometry quickly.
To do excel in trigonometry, you should have good algebra & geometry skills. In algebra, you should know how to change the subject of equations, how to solve simultaneous equations and should understand linear equations. Besides, Geometry is also close to trigonometry. In this subject, you should do focus on include problems involving circles. As well, Understand the different types of triangles and the different formulas used in solving triangles problems.
To learn trigonometry more quickly, you should have an understanding of right angled triangles. Right angled triangle are the easiest to understand as compared to other triangles. By learning these angles basics; you will easily understand the three ratios in trigonometry. Right angled triangles have three sides, the hypotenuse, adjacent and opposite wherein Hypotenuse is the longest side of the triangle.
Apart from learning about the angles, you need to understand the three ratios i.e. sine, cosine and tangent. The sine is calculated by dividing the opposite angle by the hypotenuse while the cosine is calculated by dividing the angle adjacent with the hypotenuse. On the contrary, the tangent is calculated by dividing the angle opposite by the one adjacent. Similarly, arriving at the tangent is to divide the sine with the cosine.
Thereafter, you should learn the other non-right angle triangles basics. Although the ratios used in right angle triangles do not play a bigger role here yet they come in handy. For non-right angle triangles, you must understand two important rules i.e. the cosine and sine rule. Both of these rules are used in determining the properties of non-right angled triangles. Also keep in mind that there are other three ratios that you need to understand. These are the secant, cosecant and cotangent. These are reciprocals of the cosine, sine and tangent respectively.
In trigonometry, you should learn how to solve trigonometric equations. These equations usually involve functions and are solved by converting the equation and cause it to contain a single ratio. For e.g., you can convert a multiple trigonometric function to contain a single ratio by dividing the equation by a trigonometric term. For instance, if the equation contains cosine and sine, divide it entirely by the sine. You also need to understand the various trigonometric identities.
By concluding, learning trigonometry is not much difficult as most people think. One can easily do master the subject by learning basics and by practicing it on regular basis.