prove that `(sinalpha + sin3alpha + sin5alpha)/(cosalpha + cos3alpha + cos5alpha) = tan3alpha`

(sin 5 alpha-sin3alpha)/(cos 5 alpha+2 cos 4 alpha+cos 3alpha)=

Prove that (sin alpha+sin2 alpha+sin3alpha+sin4alpha)/(cos alpha+cos 2 alpha+cos 3 alpha+cos4 alpha)=tan((5 alpha)/2)

The value of (sin5alpha-sin3alpha)/(cos5alpha+2cos4alpha+cos3alpha) is

Prove the following identities: (sin alpha sin 11 alpha + sin 3 alpha sin 7 alpha)/(sin alpha cos 11 alpha + sin 3 alpha cos 7 alpha)= tan 8 alpha

( sin alpha sin 3alpha + sin 3alpha sin 7 alpha + sin 5 alpha sin 15 alpha )/( sin alpha cos 3 alpha + sin 3alpha cos 7 alpha + sin 5 alpha cos 15 alpha ) =

Prove that, (cos alpha + sin alpha)/(cos alpha -sin alpha)-(cos alpha - sin alpha)/(cos alpha + sin alpha) = 2 tan 2 alpha

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

Prove that sinalpha*sin(60-alpha)sin(60+alpha) = 1/4*sin3alpha

The value of (sin5 alpha-sin3 alpha)/(cos5 alpha+2cos4 alpha+cos3 alpha) is

The value of (sin5 alpha-sin3 alpha)/(cos5 alpha+2cos4 alpha+cos3 alpha) is