Home
Class 12
MATHS
If cos^(-1) (x) = alpha, (0 lt x lt 1...

If `cos^(-1) (x) = alpha, (0 lt x lt 1) " and " sin^(-1) (2x sqrt(1 - x^2)) + sec^(-1)(1/(2x^2 - 1)) = (2pi)/(3)` , than `tan^(-1)`(2x) equals

A

`pi//6`

B

`pi//4`

C

`pi//3`

D

`pi//2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If 1 lt x lt 1 then tan^(-1) (2x)/(1-x^(2)) equals

y = sin ^(-1)(2xsqrt(1 - x^(2))),-(1)/sqrt(2) lt x lt (1)/sqrt(2)

If x lt 0 , then prove that cos^(-1) x = pi - sin^(-1) sqrt(1 - x^(2))

If (1)/(sqrt2) lt x lt 1 , then prove that cos^(-1) x + cos^(-1) ((x + sqrt(1 - x^(2)))/(sqrt2)) = (pi)/(4)

y = sec^(-1)((1)/(2x^(2) -1 )), 0 lt x lt (1)/(sqrt(2))

If x lt 0 , then prove that cos^(-1) x = pi + tan^(-1). (sqrt(1 - x^(2)))/(x)