Graphing inverse trigonometric functions Quiz 1

Question 1

Determine the correct graph of the function $$x = {\cos^{ - 1}}\dfrac{y}{3}$$, where  $$x \in \left[ {0,\pi } \right]$$.

Accepted Answer

Answer

Answer

Answer

None the these

Question 2

Identify the correct graph of the function $${	an^{ - 1}}2x$$.

Accepted Answer

Answer

Answer

Answer

None of the above

Question 3

Choose the graph of the function: $$4{	an^{ - 1}}\left( {\dfrac{{\cos x - \sin x}}{{\cos x + \sin x}}} ight)$$.

Accepted Answer

Answer

Answer

Answer

None of the above

Question 4

What is the maximum value of $$y$$ on the graph $$y = {	an^{ - 1}}\dfrac{1}{{\sqrt {{x^2} - 1} }}$$?

Accepted Answer

$$\dfrac{\pi }{6}$$

Answer

$$\dfrac{\pi }{2}$$

Answer

$$\dfrac{{3\pi }}{2}$$

Answer

None of the above

Question 5

Determine the range where the curve $$y = \sec x$$ is increasing in the interval $$0 \leqslant x \leqslant \pi $$.

Accepted Answer

$$\left( {\dfrac{\pi }{4},\dfrac{\pi }{3}} \right)$$

Answer

$$\left( {\dfrac{\pi }{6},\dfrac{\pi }{4}} \right)$$

Answer

$$\left( {\dfrac{\pi }{3},\dfrac{\pi }{2}} \right)$$

Answer

$$\left( {\dfrac{\pi }{2},\pi } \right)$$