Question

Help me! thank you so much

Answer 1

Explanation:

`(sinxcos^3x-cos xsin^3x)/(cos^42x-sin^42x) \\=(sin x cos x(cos^2x-sin ^2 x))/((cis^2 2x+sin^2 2x)(cos^2 2x-sin ^22x)) \\=(2sin x cos x cos 2x)/(2(1)(cos 4x)) \\=(sin 2x cos 2x)/(2 cos 4x) \\=(2 sin 2x cos 2x)/(4 cos 4x) \\=(sin 4x)/(4 cos 4x) \\=(1)/(4) tan 4x`