3.11 Symmetry properties of trigonometric graphs Quiz

1. Which is equal to $\cos 200^\circ$?

• A. $\cos20^\circ$
• B. $-\cos20^\circ$
• C. $\sin20^\circ$
• D. $-\sin20^\circ$

2. Given $\tan\alpha=3$, find $\tan(\pi-\alpha)$.

• A. $3$
• B. $\frac13$
• C. $-3$
• D. $-\frac13$

3. Which function is even?

• A. $\sin x$
• B. $\tan x$
• C. $\cos x$
• D. $\sin x+\cos x$

4. Simplify $\sin\left(\frac{\pi}{2}+\theta\right)$.

• A. $\cos\theta$
• B. $-\cos\theta$
• C. $\sin\theta$
• D. $-\sin\theta$

5. One solution of $\sin x=0.3$ is $x=0.305$. Which is another solution in $[0,2\pi)$?

• A. $2\pi-0.305$
• B. $\pi+0.305$
• C. $\pi-0.305$
• D. $-0.305$