Chapter 2 - Review Exercises - Page 89: 22

$1$

Function Values of Special Angles$: $ $\displaystyle \cos 60^{o}=\frac{1}{2}, \quad \sin 30^{o}=\frac{1}{2}$ $\displaystyle \cos 60^{\mathrm{o}}+2\sin^{2}30^{\mathrm{o}}=\frac{1}{2}+2(\frac{1}{2})^{2}$ $=\displaystyle \frac{1}{2}+2(\frac{1}{4})$ $=\displaystyle \frac{1}{2}+\frac{1}{2}=1$