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Prove that (cos3x)/(sin2xsin4x)+(cos5x)...

Prove that `(cos3x)/(sin2xsin4x)+(cos5x)/(sin4xsin6x)+(cos7x)/(sin6xsin8x)+(cos9x)/(sin8xsin10 x)` = `1/2(cos e cx)[cos e c2x-cos e c10x]`

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

Prove that (cos 3 x)/(sin 2 xsin 4x)+(cos 5x)/(sin 4xsin 6x)+(cos 7x)/(sin 6xsin 8x)+(cos 9x)/(sin 8x sin 10x) =(1)/(2) (co sec x)[co sec2x-co sec 10x]

Prove that (cos 3 x)/(sin 2 xsin 4x)+(cos 5x)/(sin 4xsin 6x)+(cos 7x)/(sin 6xsin 8x)+(cos 9x)/(sin 8x sin 10x) =(1)/(2) (co sec x)[co sec2x-co sec 10x]

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

sin2x+2sin4x+sin6x= 4cos^(2)xsin4x

Prove that sin(2x)+2sin(4x)+sin(6x)=4cos^(2)xsin4x

Prove that cos^2 2x-cos^2 6x=sin4x sin8x

Prove that: (cos9x-cos5x)/(sin 17 x-sin3x)=\ -(sin2x)/(cos 10 x)

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

Prove that: (cos9x-cos5x)/(sin17 x-sin3x)=-(sin2x)/(cos10 x)