[" 118.Prove that; "csc x*csc2x*sin4x*cos6x*csc10x],[quad =(cos3x)/(sin2x sin4x)+(cos5x)/(sin4x sin6x)+(cos7x)/(sin6x sin8x)+(cos9x)/(sin8x sin10x)]

Prove that: cosec xdotcosec2xdot sin4xdotcos6xdotcos e c 10 x=(cos3x)/(sin2x\ sin4x)+(cos5x)/(sin4x\ sin6x)+(cos7x)/(sin6x\ sin8x)+(cos9x)/(sin8x\ sin10 x)

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

show that (1)/(2sin x)(csc2x-cos ec4x)=(cos3x)/(sin2x sin4x) and hence prove that (cos3x)/(sin2x sin4x)+(cos5x)/(sin4x sin6x)+(cos7x)/(sin6x sin8x)+......+ terms =(1)/(2sin x)[cos ec2x-cos ec(2n+2)x]

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

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: cos^2 2x-cos^2 6x= sin4x sin8x

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

(cos 2x sin x + cos 6x sin 3x)/(sin 2x sin x + sin 6x sin 3x) =cot 5x