`4sin (420^@ – alpha) cos(60^@ + alpha) =`

4 sin (420^(@) - alpha ) cos (60^@ + alpha ) =

cos alpha cos(60^(@) - alpha ) cos (60^(@) + alpha ) = 1/4 cos 3 alpha.

sin alpha * sin (60-alpha) sin (60 + alpha) = (1) / (4) * sin3 alpha

if cos alpha + sin alpha = 3/4 , then sin ^6 alpha + cos ^6 alpha =

Assertion (A):cos^(2)theta+cos^(2)(60^(@)-theta)+cos^(2)(60^(@)+theta)=(3)/(2)sin alpha-sin(120^(@)-alpha)+sin(120^(@)+alpha)=0

Assertion (A):cos^(2)theta+cos^(2)(60^(@)-theta)+cos^(2)(60^(@)+theta)=(3)/(2)sin alpha-sin(120^(@)-alpha)+sin(120^(@)+alpha)=0

Prove the identity,cos((3 pi)/(2)+4 alpha)+sin(3 pi-8 alpha)-sin(4 pi-12 alpha)=4cos2 alpha cos4 alpha sin6 alpha

Prove that, 1/3 ( cos^(3) alpha sin 3 alpha + sin^(3) alpha cos 3 alpha) = 1/4 sin 4 alpha

If (2 sin alpha)/(1 + cos alpha + sin alpha) = 3/4 , then the value of (1 + cos alpha + sinalpha)/(1 + sin alpha) is equal to

If (2 sin alpha)/(1 + cos alpha + sin alpha) = 3/4 , then the value of (1 - cos alpha + sinalpha)/(1 + sin alpha) is equal to