Question

Trigonometria.

Fatore a seguinte expressão.

y = senx+ senx . cos4x

Answer 1

$\sin x+\sin x\cdot\cos 4x \sin x(1+\cos4x) \sin x(1+(\cos^22x-\sin^22x)) \sin x(1+(\cos^22x-(1-\cos^22x))) \sin x(1+(\cos^22x-(1-\cos^22x))) \sin x(1+\cos^22x-1+\cos^22x) \sin x(2\cos^22x) 2\sin x\cdot\cos^22x 2\sin x\cdot(\cos^2x-\sin^2x)^2 2\sin x(\cos^4x-2\sin^2x\cos^2x+\sin^4x) 2\sin x(\cos^4x-\frac{\sin^22x}{2}+\sin^4x)$