Answer
sin(15) = $\frac{\sqrt 6 - \sqrt 2 }{4}$
Work Step by Step
1. sin 15 = sin(45-30)
2. Use the formula for difference of sins: sin(x-y)=(sinx)(cosy)-(cosx)(siny)
3. Plug in values: sin(45-30) = sin45cos30-cos45sin30
4. sin(45-30) = $\frac{\sqrt 6}{4} - \frac{\sqrt 2}{4}$
5. sin(45-30) = $\frac{\sqrt 6 - \sqrt 2 }{4}$
6. sin(15) = $\frac{\sqrt 6 - \sqrt 2 }{4}$
