Free Printable 12.1 Inverse Trigonometric Values

1.

In Quadrant I, what is the angle for which the tangent value is 1 and the sine and cosine values are equal?

a)

$\frac{\pi}{6}$

b)

$\frac{\pi}{4}$

c)

$\frac{\pi}{3}$

2.

To have an inverse function, the domain of $y=\sin x$ is restricted to

a)

$\left[0,\ \pi\right]$

b)

$\left(0,\ \pi\right)$

c)

$\left[-\frac{\pi}{2},\ \frac{\pi}{2}\right]$

d)

$\left(-\frac{\pi}{2},\ \frac{\pi}{2}\right)$

3.

To have an inverse function, the domain of $y=\cos x$ is restricted to

a)

$\left[0,\ \pi\right]$

b)

$\left(0,\ \pi\right)$

c)

$\left[-\frac{\pi}{2},\ \frac{\pi}{2}\right]$

d)

$\left(-\frac{\pi}{2},\ \frac{\pi}{2}\right)$

4.

To have an inverse function, the domain of $y=\tan x$ is restricted to

a)

$\left[0,\ \pi\right]$

b)

$\left(0,\ \pi\right)$

c)

$\left[-\frac{\pi}{2},\ \frac{\pi}{2}\right]$

d)

$\left(-\frac{\pi}{2},\ \frac{\pi}{2}\right)$

5.

Evaluate: $\sin^{-1}\left(-\frac{\sqrt{3}}{2}\right)$

a)

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

b)

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

c)

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

d)

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

e)

$0$

6.

Evaluate: $\tan\text{}^{-1}\left(-\frac{\sqrt{3}}{3}\right)$

a)

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

b)

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

c)

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

d)

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

e)

$0$

7.

Evaluate: $\cos^{-1}\left(-\frac{1}{2}\right)$

a)

$\frac{\pi}{2}$

b)

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

c)

$\frac{3\pi}{4}$

d)

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

e)

$\pi$

8.

Evaluate: $\cos^{-1}\left(-\frac{\sqrt{3}}{2}\right)$

a)

$\frac{\pi}{2}$

b)

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

c)

$\frac{3\pi}{4}$

d)

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

e)

$\pi$

9.

Which of the following has the greatest value?

a)

$\sin^{-1}\left(-1\right)$

b)

$\cos^{-1}\left(-1\right)$

c)

$\tan^{-1}\left(-1\right)$

10.

Which of the following is equal to $\tan^{-1}\left(-\sqrt{3}\right)$ ?

a)

$\sin^{-1}\left(-\frac{1}{2}\right)$

b)

$\cos^{-1}\left(-\frac{1}{2}\right)$

c)

$\sin^{-1}\left(-\frac{\sqrt{3}}{2}\right)$

d)

$\cos^{-1}\left(-\frac{\sqrt{3}}{2}\right)$

12.1 Inverse Trigonometric Values

Total questions: 10

Worksheet time: 20mins

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