# Chapter 5 - Test - Page 709: 8

See explanations.

#### Work Step by Step

Step 1. $LHS=1-\frac{1-sin^2x}{1+sin(x)}=1-(1-sin(x))=sin(x)$ Step 2. $RHS=sin(x)$ Step 3. Since $LHS=RHS$, we verified the identity.

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