If `sin x cos 4 x+2 sin^2 2 x=1-4 sin^2(pi/4-x/2)` then the value (s) of sin x is/are `(i) 1 (ii) 1/2 (iii) 2 (iv) 3`

If sin ^(2) x + (1)/(4) sin^(2) 3x = sin x sin^(2) 3 x then x =

If " sin " x =- (1)/(2) " and " pi lt x lt .(3pi)/(2) find the value of (i) " sin "2x , (ii) " cos " 2x (iii) " tan " 2x

sin^(4)x+cos^(4)x=1-2sin^(2)x cos^(2)x

If 4cos x sin x*2sin x = 3sin x, then x = (i) n pi+(-1)^(n) (pi)/(10) (ii) n pi-(-1)^(n) ( pi)/(10) (iii) 2n pi+-(pi)/(10) (iv) n pi+(pi)/(10)

If I=int_(-pi//2)^(pi//2)(sin^(4)x)/(sin^(4)x+cos^(4)x)dx, then the value of I is

If f(x) = |(sin x + sin 2x + sin 3x, sin 2x , sin 3x),(3 + 4 sin x, 3, 4 sin x),(1 + sin x, sin x, 1)| then the value of int_0^(-pi//2) f(x) dx equals :

If sin x+sin^(2)x=1 then the value of cos^(2)x+cos^(4)x+cot^(4)x-cot^(2)x is

If sin x+sin^(2)x=1, then the value of cos^(2)x+cos^(4)x+cot^(4)x-cot^(2)x is

If sin x ( cos ""(x)/( 4) - 2 sin x) + ( 1 + sin "" (x)/( 4) - 2 cos x) cos x = 0 then x =