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

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• March 22nd 2011, 09:15 AM
mia25
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.
• March 22nd 2011, 12:25 PM
pickslides
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?