Trigonometric graphs and exact values Quiz

1. Find the exact value of $\cos\frac{3\pi}{4}$.

• A. $\frac{\sqrt2}{2}$
• B. $-\frac{\sqrt2}{2}$
• C. $-\frac12$
• D. $\frac12$

2. How many times does $y=\sin x$ meet the $x$-axis for $0\le x\le3\pi$ (including both ends)?

• A. $2$
• B. $3$
• C. $4$
• D. $5$

3. What is the period of $y=\tan x$?

• A. $2\pi$
• B. $\frac{\pi}{2}$
• C. $4\pi$
• D. $\pi$

4. Find the exact value of $\sin\left(-\frac{\pi}{6}\right)$.

• A. $-\frac12$
• B. $\frac12$
• C. $-\frac{\sqrt3}{2}$
• D. $\frac{\sqrt3}{2}$

5. Find the exact value of $\tan\frac{5\pi}{4}$.

• A. $-1$
• B. $\sqrt3$
• C. $1$
• D. $-\sqrt3$