PYQ Vault
EbooksTutor

3 sin^-1(2x/(1+x^2)) - 4 cos^-1((1-x^2)/(1+x^2)) + 2 tan^-1(2x/(1-x^2)) = pi/3: find x

The same question, asked 2 times: 22 Apr 2025 S1, 20 Apr 2026 S2. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    22 Apr 2025 S1

    146
    If 3sin⁡−1(2x1+x2)−4cos⁡−1(1−x21+x2)+2tan⁡−1(2x1−x2)=π33\sin^{- 1}\left( \frac{2x}{1 +x^{2}} \right)- 4\cos^{- 1}\left( \frac{1 -x^{2}}{1 +x^{2}} \right)+ 2\tan^{- 1}\left( \frac{2x}{1 -x^{2}} \right)=\frac{\pi}{3} then the value of x=x=

    Tap an option to check your answer.

  2. Question 2

    20 Apr 2026 S2

    66
    If 3sin⁡−1(2x1+x2)−4cos⁡−1(1−x21+x2)+2tan⁡−1(2x1−x2)=π33\sin^{-1}\left(\dfrac{2x}{1 + x^2}\right) - 4\cos^{-1}\left(\dfrac{1 - x^2}{1 + x^2}\right) + 2\tan^{-1}\left(\dfrac{2x}{1 - x^2}\right) = \dfrac{\pi}{3} then x=x =?

    Tap an option to check your answer.