`cos 4x =1- 8 sin ^(2) x cos ^(2) x`

cos4x=1-8sin^(2)x cos^(2) x

Find the number of solution of the equations sin^3 x cos x + sin^(2) x* cos^(2) x+sinx * cos^(3) x=1 , when x in[0,2pi]

(cos x + cos y ) ^(2) + (sin x - sin y ) ^(2) = 4 cos ^(2) ""(x + y )/( 2)

The value of (cos^(4)x+cos^(2)x sin^(2) x + sin^(2)x)/(cos^(2)x+ sin^(2) x cos^(2) x + sin^(4)x) is ____________

int (sin^(8)x-cos^(8)x)/(1-2sin^(2)x cos^(2)x)dx =

(cos x- cos y) ^(2) + (sin x - sin y) ^(2) =4 sin ^(2) "" ( x-y)/(2)

Solve the inequality (5)/4 sin^(2) x + sin^(2) x * cos^(2)x gt cos 2x.

sin 3 x + 2 csin 4x + sin 6x = 4 cos ^(2) x sin 4x

int(1)/(sin^(2)x cos^(2)x)dx=