Free Printable 12 A: TRIGONOMETRY : 12 JAN 2021

1.

Principal - value - of

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

a)

0

b)

$\frac{\pi}{2}$

c)

$\frac{\pi}{4}$

d)

1

2.

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

a)

$\frac{\pi}{6}$

b)

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

c)

$\frac{\pi}{3}$

d)

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

3.

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

a)

$\frac{\pi}{3}$

b)

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

c)

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

d)

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

4.

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

a)

$\frac{\pi}{6}$

b)

$\frac{\pi}{3}$

c)

$\frac{\pi}{2}$

d)

0

5.

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

a)

$\frac{\pi}{4}$

b)

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

c)

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

d)

$\frac{7\pi}{4}$

6.

Sin^-1[cosπ]

a)

0

b)

π

c)

π/2

d)

-π/2

7.

What range of angles can you get from the principal value of inverse cosine?

a)

0 to π

b)

0 to 2π

c)

-π/2 to π/2

d)

π/2 to 3 π/2

8.

What range of angles can you get from the principal value of inverse sine?

a)

0 to π

b)

0 to 2π

c)

-π/2 to π/2

d)

π/2 to 3 π/2

9.

The value of $\cot\left(\sin^{-1}x\right)$ is

a)

$\frac{\left(\sqrt{1+x^2}\right)}{x}$

b)

$\frac{x}{\sqrt{1+x^2}}$

c)

$\frac{1}{x}$

d)

$\frac{\sqrt{1-x^2}}{x}$

10.

$\tan^{-1}\left(\frac{x}{y}\right)-\tan^{-1}\left(\frac{x-y}{x+y}\right)=$

a)

$\frac{\pi}{2}$

b)

$\frac{\pi}{3}$

c)

$\frac{\pi}{4}$

d)

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

12 A: TRIGONOMETRY : 12 JAN 2021

Total questions: 10

Worksheet time: 6mins

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