`cosalpha*cos60-alpha*cos60+alpha -1/4cos3alpha`

If alpha = pi/3, prove that cos alpha*cos 2alpha*cos 3alpha*cos 4alpha*cos 5alpha*cos 6alpha = -1/16.

If alpha = pi/3 , prove that cos alpha*cos 2alpha*cos 3alpha*cos 4alpha*cos 5alpha*cos 6alpha = -1/16 .

If alpha = pi/3 , prove that cos alpha*cos 2alpha*cos 3alpha*cos 4alpha*cos 5alpha*cos 6alpha = -1/16 .

If alpha = (pi)/(13), Prove that cos alpha cos 2alpha cos 3alpha cos 4alpha cos 5alpha cos 6alpha = (1)/(64) .

1/(cosalpha+cos3alpha)+1/(cosalpha+cos5alpha)....1/(cosalpha+cos(2n+1)alpha

Prove the following : (cos7alpha+cos3alpha-cos5alpha-cosalpha)/(sin7alpha-sin3alpha-sin5alpha+sinalpha) = cot2alpha

If alpha=(pi)/(31) then find the value of (1)/(4)[(1)/(cos alpha)+(2cos alpha)/(cos2 alpha)+(4cos3 alpha)/(cos4 alpha)+(8cos7 alpha)/(cos8 alpha)]

( sin 8 alpha * cos alpha - sin 6 alpha * cos 3 alpha )/(cos 2 alpha cos alpha - sin 3 alpha * sin 4alpha ) =

If alpha=(pi)/(17), show that (cos alpha cos13 alpha)/(cos3 alpha+cos5 alpha)=-(1)/(2)