Trigonometric Ratios & Identities

This post will discuss Trigonometric Ratios and Identities as a topic for preparation of JEE Advanced and JEE Mains. The important topics and the type of questions shall also be discussed.

Trigonometric equations and Identities is one of the most essential topics in JEE preparation. While the number of direct questions may be seemingly less, but the basic concepts of this chapter are widely applied and hence, it is crucial for preparation.

Importance

Yearly Trend

On observing the trend from the previous years’ question papers, it was found that 1-2 question can be expected from this chapter in both JEE Advanced and JEE Mains. Especially in the last 3 years, 4 questions from this topic have appeared in JEE Advanced. In the online JEE Mains exams last year, an average of 1 question was asked in all the sessions, bringing the total up to 4 questions in the last 3 years.
The solutions to the questions asked, are generally long and complex and hence, one must be thorough with the identities and the techniques of solving these problems.
Questions appear mostly as Single correct option or multiple correct option format.

Topics

Generally, the questions asked from this chapter are combined with related topics like Inverse Trigonometric Functions, where a range of possible values of the argument is expected as an answer. Questions may also be related to basic formulas like the half angle formula, which will give a solution.

The questions may also be of the type where a solution for a set of trigonometric equations under certain conditions will be asked, where the values of the argument !!(theta " or " x)!! will be expected as an answer.

Another type of question which can be asked is where a complex trigonometric equation is to be reduced into a simpler one and to be given as an answer.

Rigorous practice will not only help in scoring maximum marks in this topic, but also in the overall preparation.