JEE Main Maths · Inverse Trigonometric Functions

Periodic Reduction of sin-1(sin x) and cos-1(cos x)

Periodic Reduction of sin-1(sin x) and cos-1(cos x) (Inverse Trigonometric Functions) was asked once in the 42 JEE Main shifts Lumi analysed, in 2024.

Times asked: 1; in 1 shift
Years: 2024
Usual format: Single correct; Calculation
Pattern: New since 2024; asked once so far

How it is asked

Principal values of sin-1(sin x) and cos-1(cos x)

Difficulty

Easy 0Medium 1Hard 0

Where it sits

Chapter: Inverse Trigonometric Functions. Topic: Inverse Trig Identities, 20 questions over 18 ideas.

The question

Newest first, each with its options and official answer.

31 Jan 2024, Shift 2 · Q20If $a=\sin^{-1}(\sin(5))$ and $b=\cos^{-1}(\cos(5))$ , then $a^2+b^2$ is equal toMediumSingle correct