Verify the Identity

Oct 2019
1
0
Utah
The instructions for this problem is to verify the identity. Thank you for your help!

(sin3xcos5x-sinxcos7x) / (sinxsin7x+cos3xcos5x) = tan2x
 
Mar 2015
182
68
Universe 2.71828i3.14159
Calculate numerator using $\sin \alpha \cdot \cos \beta$ and denominator using $\sin \alpha \cdot \sin \beta$ & $\cos \alpha \cdot \cos \beta$. Rest is easy.