JEE Main 2020 · 8 January · morning · Single correct · +4 / −1

Let ƒ(x) = (sin(tan –1 x) + sin(cot –1 x))² – 1, |x| > 1.
If dy/dx = 1/2d/dx( sin ⁻¹( f( x ) ) ) and y( √3 ) = π/6, then y( - √3 ) is equal to :

  1. (a) 5π/6
  2. (b) - π/6
  3. (c) π/3
  4. (d) 2π/3
Answer and solution

Answer (b) - π/6

No written solution for this question yet.

Study Inverse Trigonometric Functions

Asked about 90 times in JEE Main since 2020. This question is from 2020.