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IIT JEE Trigonometry
Trigonometry is a vital constituent of Mathematics in IIT JEE examination
. Trigonometric functions and trigonometry ratios are some of the most imperative areas of trigonometry. Since the IIT JEE exam asks a good amount of questions on this topic, so getting the knack of the basic trigonometry can surely help an IIT JEE aspirant to smooth his way through the exam.
Trigonometry is the branch of Mathematics that deals with triangles and the relationships between the sides and angles. The trigonometry functions are universal in parts of pure mathematics and applied mathematics which also lay the groundwork for many branches of science and technology. The IIT JEE Trigonometry problems range from the trigonometry basics to the applications of trigonometry.
Some of the trigonometry questions are simply based on trigonometry formulae and are quite easy to crack while others may demand some trigonometry tricks. Thus IIT JEE trigonometry syllabus is a perfect blend of questions of all levels.
Given below is the trigonometry table that illustrates the values of the functions at different angles:
It would be an added advantage if the aspirants could memorize all above trigonometry formulas but if not; they must at least grasp the major ones like:
The graphs also constitute a vital component in Trigonometry. A student who is well versed with the graphs of the major functions is able to tackle questions with ease. Some of the fundamental graphs are sketched below:
Enlisted below are some of the prime heads that come under trigonometry and are covered in the coming sections:
- Multiple and Sub-multiple Angles
- Inverse circular Functions
- Trigonometric Identities and Equations
For more in depth knowledge refer
Find the angles and sides indicated by the letters in the diagram. Give each answer correct to the nearest whole number.
Since in general, it is simpler to use the value of 30°, so we will have to consider the triangle with 30°. Here,
r/60 = tan 30°.
Hence, r = 60tan (30°) = 34.64101615...
So answer correct to the nearest whole number is r= 35.
Now, that we have obtained the value of r, we use the first triangle to evaluate s. r/s = tan(55°)
so, 35/s = tan(55°)
so, 35/tan(55°) = s = 24.50726384...
r = 35, s = 25
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