`2sin^(2)x + sin^(2)2x =2`

Find the number of solutions of the equation 2 sin^(2) x + sin^(2) 2x = 2 , sin 2x + cos 2x = tan x in [0, 4 pi] satisfying the condition 2 cos^(2) x + sin x le 2 .

Find the number of solutions of the equation 2 sin^(2) x + sin^(2) 2x = 2 , sin 2x + cos 2x = tan x in [0, 4 pi] satisfying the condition 2 cos^(2) x + sin x le 2 .

Find the number of solutions of the equation 2 sin^(2) x + sin^(2) 2x = 2 , sin 2x + cos 2x = tan x in [0, 4 pi] satisfying the condition 2 cos^(2) x + sin x le 2 .

The common roots of the equations 2 sin^(2) x + sin ^(2)2 x = 2 and sin 2 x + cos 2 x = tan x is

Find the common roots of the equation 2 sin^(2)x +sin^(2) x =2 and sin 2x+ cos 2x=tanx .

If 2 sin ^(2) x + sin ^(2) 2 x = 2 then x = ____

Prove that : sin^(2) 6x - sin^(2)4x = sin 2x *sin10x

Solve the following equation : 2 sin^2 x + sin^2 2x = 2 .