cos alpha cos(60^(@)-alpha)cos(60^(@)+alpha)=(1)/(4)cos3 alpha

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

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

cos alpha+cos(120^(@)+alpha)+cos(120^(@)-alpha)=0

Prove that cos alpha cos (120^(@) + alpha) cos (240^(@) + alpha) = 1/4 cos 3 alpha

cos alpha*cos60-alpha*cos60+alpha-(1)/(4)cos3 alpha

cos4 alpha=1-8cos^(2)alpha+8cos^(4)alpha

Prove that, cos alpha + cos(120^(@) + alpha) + cos (120^(@) - alpha) = 0

( cos 2 alpha)/( cos^(4) alpha - sin^(4) alpha ) -(cos^(4) alpha + sin^(4) alpha )/(2-sin^(2) 2alpha ) =

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

(1)/(cos alpha+cos3 alpha)+(1)/(cos alpha+cos5 alpha)...(.1)/(cos alpha+cos(2n+1)alpha)