# Math Help - Prove that ((1+sin(15x))(1-sin(x))/(1-sin(5 x))(1+sin(3x)))= ....

1. ## Prove that ((1+sin(15x))(1-sin(x))/(1-sin(5 x))(1+sin(3x)))= ....

((1+sin(15x))(1-sin(x))/(1-sin(5 x))(1+sin(3x)))=

{16(sinx)^4 - 8(sinx)^3 - 16(sinx)^2 + 8sinx +1}^2

Any idea that help in solving this equality is appreciated.

2. I don't know the whole solution yet but start on the left hand side with $\displaystyle \frac{a}{b}\div \frac{c}{d}= \frac{a}{b}\times \frac{d}{c}$

What do you get?