Reciprocal and inverse trigonometric functions Quiz

1. $\sec60^\circ$ equals...

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

2. Which is the exact value of $\arctan(-1)$?

• A. $\frac{3\pi}{4}$
• B. $\frac{\pi}{4}$
• C. $-\frac{\pi}{4}$
• D. $-\frac{3\pi}{4}$

3. The range of $y=\mathrm{cosec}\,x$ is...

• A. $-1\le y\le1$
• B. $y\le-1$ or $y\ge1$
• C. all real $y$
• D. $y\ge0$

4. $1+\cot^2\theta$ is identically equal to...

• A. $\sec^2\theta$
• B. $\tan^2\theta$
• C. $\sin^2\theta$
• D. $\mathrm{cosec}^2\theta$

5. How many solutions does $\sec x=\frac12$ have?

• A. $2$
• B. $1$
• C. $0$
• D. $4$