If 1+sin x + sin^(2)x +….oo = 4 + 2sqrt(...

If `1+sin x + sin^(2)x +….oo = 4 + 2sqrt(3), 0 lt x lt pi, x ne pi//2` then x =

A

`pi//6,pi//3`

B

`pi//3, 5pi//6`

C

`2 pi//3, pi//6`

D

`pi//3, 2 pi//3`

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

If 1+sin theta + sin^(2) theta + ...oo= 4+2sqrt(3), 0 lt theta lt pi and theta != pi/2 , then theta

If sec x cos 5x + 1 =0, 0 lt x lt 2pi , then x =

If 0 lt x lt pi , and cos x+ sin x =1//2 , then tan x=

For 0 lt x le pi, sin h^(-1)(cot x) =

If 0 lt x lt pi and cos x + sin x=1/(2) , then tanx =

If sin x + cos x + tan x + cot x + sec x + cosec x = 7, 0 lt x lt pi//2 and sin = 2x=a-b sqrt(7) then (a, b in Z^(+))

Let f(x) = {:{( sin x +cos x, 0 lt x lt (pi)/(2) ),( a, x = pi//2) , ( tan ^(2) x + cosecx , pi//2lt xlt pi ):} then its odd extension is

If f(x) = 2sin^(3) x + lambda sin^(2) x, x - (pi)/(2) lt x lt (pi)/(2) has exactly one maximum and one minimum, then find set of values of lambda .

Solve the equation cot^(2) x - (sqrt(3) +1) cot x + sqrt(3) = 0, 0 lt x lt (pi)/(2)