24" Prove that "(cos6x+cos4x)/(sin6x-sin4x)=cot x

Prove that (cos5x + cos3x)/(sin5x + sin3x) = cot4x

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

Prove that ("cos " 6x + " cos " 4x)/("sin " 6x - "sin " 4x) = " cot x

Prove that cot4x(sin5x + sin3x) = 2cos4x cosx

Prove that (cos4x+cos3x+cos2x)/(sin4x+sin3x+sin2x)=cot3x

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^(2)2x-cos^(2)6x=sin4x.sin8x ?