4 theta-cos4 alpha=8(cos theta-cos alpha)(cos theta+cos alpha)(cos theta-sin alpha)cos theta

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

If tan alpha=(sin theta-cos theta)/(sin theta+cos theta) then sin alpha

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

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.

if sin(theta+alpha)=cos(theta+alpha) then tan alpha

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

cos ( theta + alpha)* cos ( theta - alpha) + sin ( theta + alpha) * sin (theta - alpha )=

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

sin theta+sin2 theta+sin3 theta=sin alpha and cos theta+cos2 theta+cos3 theta=cos alpha then theta is equal to

Show that cos^2theta+cos^2(alpha+theta)-2cosalphacostheta"cos"(alpha+theta) is independent of thetadot