Free Printable INVERSE TRIGONOMETRIC FUNCTIONS

1.

Q1. The principal value of $\ Sin^{-1}\left(\frac{1}{\sqrt{2}}\right)\ is\$

a)

$\frac{\pi}{4}$

b)

$\frac{\pi}{6}$

c)

$\frac{\pi}{2}$

2.

Q2. The principal value of $\ Sin^{-1}\left(\frac{1}{2}\right)\ is$

a)

$\frac{\pi}{6}$

b)

$-\frac{\pi}{4}$

c)

$-\frac{\pi}{3}$

3.

Q3. The principal value of $\ Tan^{-1}\left(-1\right)\ is$

a)

$-\frac{\pi}{4}$

b)

$-\frac{\pi}{3}$

c)

$-\frac{\pi}{6}$

4.

Q4. The principal value branch of $\ \ \left(\ Sin^{-1}y\ \right)\ is\$

a)

$0\le y\le\pi$

b)

$-\frac{\pi}{2}\le y\le\frac{\pi}{2}$

c)

$-\frac{\pi}{2}<y<\frac{\pi}{2}$

5.

Q5. The principal value of $\ Cos^{-1}\frac{1}{2}\ +\ 2Sin^{-1}\ \frac{1}{2}\ is$

a)

$\frac{2\pi}{3}$

b)

$\frac{\pi}{4}$

c)

$\frac{2\pi}{6}$

6.

Q6. The principal value of $\ \ \tan^{-1}\sqrt{3}-\ \sec^{-1}\left(-2\right)\ \ is$

a)

$\pi$

b)

$\frac{\pi}{3}$

c)

$\frac{2\pi}{3}$

7.

Q7. The principal value of $\ Co\sec^{-1}\left(-\sqrt{2}\right)\ is\$

a)

$-\frac{\pi}{6}$

b)

$-\frac{\pi}{2}$

c)

$-\frac{\pi}{4}$

8.

Q8. Which of the following is NOT TRUE about inverse functions?

a)

Inverse functions are reflections of each other over the line y = x.

b)

You find the inverse by switching x and y in the equation.

c)

The domain of a function always becomes the domain of its inverse.

d)

The domain of a function always becomes the range of its inverse.

9.

Q9. $\cos^{-1}\left(\cos\ \frac{7\pi}{6}\right)\$ is equal to

a)

$\frac{7\pi}{6}$

b)

$\frac{5\pi}{6}$

c)

$\frac{-\pi}{3}$

d)

$\frac{-\pi}{6}$

10.

Q10. Find the principal value of : $\ Cos^{-1}\left\{\tan\ \left(\frac{-\pi}{4}\right)\right\}\$

a)

0

b)

π

c)

π/4

d)

3π/4

INVERSE TRIGONOMETRIC FUNCTIONS

Total questions: 10

Worksheet time: 50mins

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