cos alpha-cos(alpha+theta)+cos(alpha+2 theta)=0

Prove that cos^(2)theta + cos^(2)(alpha + theta) – 2cos alpha *cos theta* cos(alpha +theta) is independent of theta .

Show that cos^(2)theta+cos^(2)theta(alpha+theta)-2cos alpha cos theta cos(alpha+theta) is independent of theta.

Show that: cos^(2)theta+cos^(2)(alpha+theta)-2cos alpha cos theta cos(alpha+theta) is independent of theta.

Prove that cos 4theta–cos 4alpha = 8(cos theta-cos alpha)(cos theta+ cos alpha )(cos theta -sin alpha)(cos theta+sin alpha)

Prove that the expression cos^(2)theta+cos^(2)(alpha+theta)-2cos alpha cos theta cos(alpha+theta) is independent of theta and also find the maximum value of the expression.

The value of 2sin^(2)theta+4cos(theta+alpha)sin alpha sin theta+cos2(alpha+theta)

If cos theta =(cos alpha - cos beta)/( 1- cos alpha cos beta), then one of the values of tan ((theta )/(2)) is

If 32 tan^(8) theta=2 cos^(2) alpha-3 cos alpha and 3 cos 2 theta=1 , then the general values of alpha is

If 32 tan^8 theta= 2 cos^2 alpha-3 cos alpha and 3 cos 2 theta=1 , then find the general value of alpha .