" Prove that "tan alpha*tan(60^(@)-alpha)tan(60^(@)+alpha)=tan3 alpha

tanalpha.tan(60^@-alpha).tan(60^@+alpha)=tan3alpha

Prove that, tan 8alpha - tan 5 alpha - tan 3 alpha = tan 8alpha tan 5 alpha tan 3 alpha

If alpha = (2pi)/7 prove that tan alpha *tan 2alpha + tan 2alpha* tan 4alpha + tan 4alpha* tan a = - 7

Prove that sin4 alpha=4tan alpha (1- tan^(2)alpha)/((1+tan^2 alpha)^2

Prove that: tan alpha+2tan2 alpha+4tan4 alpha+8cot8 alpha=cot alpha

prove that :tan(alpha)+2tan(2 alpha)+4(tan4 alpha)+8cot(8 alpha)=cot(alpha)

Prove that tan alpha + 2tan 2alpha + 4tan 4alpha + 8cot 8alpha = cot alpha .

Prove that tan (alpha+ (pi)/(3)) tan (alpha-(pi)/(3))+ tan alpha tan (alpha+(pi)/(3)) +tan (alpha-(pi)/(3)) tan alpha+3=0

If alpha=(2 pi)/(7), then tan alpha tan2 alpha+tan2 alpha tan4 alpha+tan4 alpha tan alpha

Prove that (tan alpha+tan beta)/(cot alpha+cot beta)=tan alpha tan beta