Chapter 5 - Trigonometric Functions - Section 5.2 Trigonometric Functions: Unit Circle Approach - 5.2 Assess Your Understanding - Page 403: 61

1. $sin(\frac{5\pi}{2})= 1$. 2. $cos(\frac{5\pi}{2})= 0$. 3. $tan(\frac{5\pi}{2})= undefined$. 4. $cot(\frac{5\pi}{2})= 0$. 5. $sec(\frac{5\pi}{2})= undefined$. 6. $csc(\frac{5\pi}{2})= 1$.

1. $sin(\frac{5\pi}{2})=sin(2\pi+\frac{\pi}{2})=sin\frac{\pi}{2}=1$. 2. $cos(\frac{5\pi}{2})=cos(2\pi+\frac{\pi}{2})=cos\frac{\pi}{2}=0$. 3. $tan(\frac{5\pi}{2})=tan(2\pi+\frac{\pi}{2})=tan\frac{\pi}{2}=undefined$. 4. $cot(\frac{5\pi}{2})=cot(2\pi+\frac{\pi}{2})=cot\frac{\pi}{2}=0$. 5. $sec(\frac{5\pi}{2})=\frac{1}{cos(\frac{5\pi}{2})}=undefined$. 6. $csc(\frac{5\pi}{2})=\frac{1}{sin(\frac{5\pi}{2})}=1$.