`cos 5x`

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Prove that (sin 5 x+sin 3 x)/(cos 5 x+cos 3 x)=tan 4 x

Prove that (cos 7 x+cos 5 x)/(sin 7 x-sin 5 x)=cot x

cos5x= 16 cos^(5) x -20 cos^(3) x +5 cos x in

cos5x=16cos^(5)x-20cos^(3)x+5cos x

lim_(x to 0) (cos5x-cos7x)/(cosx-cos5x)

Evaluate : underset(xrarr0)"lim"(cos5x-cos7x)/(cosx-cos5x)

Evaluate : lim_(xrarr0)(cos5x-cos7x)/(cosx-cos5x)

int_(0)^(pi//2) (cos^(5)x)/(sin^(5)x+cos^(5)x)dx is equal to