Prove that `(cos7x+cos5x)/(sin7x-sin5x)=cotx`.

Prove that (cos7x+cos5x)/(sin7x-sin5x)=cot x

Prove that :(cos7x+cos5x)/(sin7x-sin5x)=cot x

Prove that: (cos7A+cos5A)/(sin7A-sin5A)=cot A

Prove that :(cos9x-cos5x)/(sin17x-sin3x)=(-sin2x)/(cos10x)

Prove that: ,(cos9x-cos5x)/(sin17x-sin3x)=-(sin2x)/(cos10x)

Solve the eqution (cos7x+cos5x)/(sin7x-sin 5x).

Prove the following: (i) ("sin" x+"sin" y)/(cos x+cos y)="tan""(x+y)/(2) (ii) (cos 7x+cos 5x)/("sin" 7x-"sin" 5x)=cot x .

Prove that: ((sin7x+sin5x)+(sin9x+sin3x))/((cos7x+cos5x)+(cos9x+cos3x))=tan6x

Prove that (cos3x)/(sin2x sin4x)+(cos5x)/(sin4x sin6x)+(cos7x)/(sin6x sin8x)+(cos9x)/(sin8x sin10x)=(1)/(2)(cos ecx)[cos ec2x-cos ec10x]