# Chapter 9 - Section 9.4 - Rotation of Axes - Exercise Set - Page 1011: 63

See explanations.

#### Work Step by Step

Starting from the left hand side, we have $LHS= \frac{1/cos(x)}{cos(x)/sin(x)+sin(x)/cos(x)}= \frac{1/cos(x)}{cos(x)/sin(x)+sin(x)/cos(x)}\times\frac{sin(x)cos(x)}{sin(x)cos(x)}=\frac{sin(x)}{cos^2x+sin^2x}=sin(x)=RHS$ Thus, we have verified the identity.

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.