Home
Class 12
MATHS
If x in ( - pi/2, pi/2), then the valu...

If ` x in ( - pi/2, pi/2)`, then the value of `tan^(-1) ((tan x)/4) + tan^(-1) ((3 sin 2x)/(5 + 3 cos 2x)) ` is

A

`x//2`

B

`2x`

C

`3x`

D

`x`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the value of tan^(-1)("tan"(2pi)/3) .

If tan(x/2)=cosec x - sin x then the value of tan^2(x/2) is

Find the value of sin(2"tan"^(-1)1/3)+cos("tan"^(-1)2sqrt2) .

Prove that tan^(-1) 2 + tan^(-1) 3 = (3pi)/4

If cos(2tan^(-1)x)=1/2 , then the value of x is ___

Sovle tan^(-1)2x+tan^(-1)3x=(pi)/4

Solve the equation tan^(-1) ((x-1)/(x-2))+tan^(-1)((x+1)/(x+2))=pi/4

If pi lt x lt 2 pi , then (d)/(dx) [ tan ^(-1) ((1 - cos x)/( 1 + cos x))^(1//2) ] is . . . .

Find the value of sin[tan^(-1)("tan"(7pi)/6)]+cos[cos^(-1)("cos"(7pi)/3)] .

If (tan^(-1) x)^2 + (cot^(-1) x)^2 = (5 pi^2) /8 find x.