Trigonometric graphs and identities Quiz

1. The graph of $y=\cos(x+30^\circ)$ is $y=\cos x$ translated...

• A. $30^\circ$ right
• B. $30^\circ$ up
• C. $30^\circ$ down
• D. $30^\circ$ left

2. Given $\cos\theta=\frac{5}{13}$ and $\theta$ is acute, $\sin\theta=$

• A. $\frac{5}{12}$
• B. $\frac{12}{13}$
• C. $\frac{8}{13}$
• D. $\frac{13}{12}$

3. The period of $y=\tan\frac{x}{2}$ is...

• A. $90^\circ$
• B. $180^\circ$
• C. $720^\circ$
• D. $360^\circ$

4. Which expression equals $\frac{\cos^2\theta}{1-\sin\theta}$?

• A. $1+\sin\theta$
• B. $1-\sin\theta$
• C. $\cos\theta$
• D. $\tan\theta$

5. The maximum value of $y=4-2\sin x$ is...

• A. $2$
• B. $4$
• C. $6$
• D. $-2$