Secant, cosecant and cotangent Quiz

1. What is the exact value of $\sec60^{\circ}$?

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

2. Which of these functions is undefined at $x=\frac{\pi}{2}$?

• A. $\operatorname{cosec}\,x$
• B. $\cot x$
• C. $\sec x$
• D. $\cos x$

3. If $\tan x=4$, what is $\cot x$?

• A. $\frac14$
• B. $4$
• C. $-4$
• D. $-\frac14$

4. What is the range of $\cot x$?

• A. $y\ge1$
• B. $-1\le y\le1$
• C. $y\ne0$
• D. all real numbers

5. What is the smallest positive $x$ (in radians) with $\cot x=1$?

• A. $\frac{\pi}{6}$
• B. $\frac{\pi}{4}$
• C. $\frac{\pi}{3}$
• D. $\frac{\pi}{2}$