Free Printable PC Compositions of Trig Functions

1.

Find the exact value of the expression: $\tan\left(\sin^{-1}\left(-\frac{1}{2}\right)\right)$

a)

$\sqrt{3}$

b)

$\frac{\sqrt{3}}{3}$

c)

$-\sqrt{3}$

d)

$-\frac{\sqrt{3}}{3}$

2.

Find the exact value of the expression: tan^-1(sin π)

a)

1

b)

-1

c)

0

d)

undefined

3.

Find the exact value of the expression: $\tan\left(\sin^{-1}\left(1\right)\right)$

a)

undefined

b)

0

c)

$\frac{1}{2}$

d)

1

4.

Find the exact value of the expression:

\cos^{-1}\left(\tan\left(-\frac{\pi}{4}\right)\right)

a)

$0$

b)

$\pi$

c)

$\frac{\pi}{4}$

d)

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

5.

Find the exact value of the expression:

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

a)

2

b)

-2

c)

$\frac{2\sqrt{3}}{3}$

d)

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

6.

Find the exact value of the expression: cot(cos^-1 0)

a)

0

b)

undefined

c)

1

d)

-1

7.

Find the exact value for the expression:

\csc(\tan^{-1}\sqrt{3})

a)

2

b)

$\frac{2\sqrt{3}}{3}$

c)

$\frac{\sqrt{3}}{2}$

d)

$\frac{1}{2}$

8.

Find the exact value of the expression: cot(tan^-1 0)

a)

-1

b)

0

c)

1

d)

undefined

9.

Find the exact value of the expression: $\sin\left(\cos^{-1}\left(-\frac{\sqrt{7}}{5}\right)\right)$

a)

$\frac{4\sqrt{2}}{5}$

b)

$-\frac{4\sqrt{2}}{5}$

c)

$\frac{3\sqrt{2}}{5}$

d)

$-\frac{3\sqrt{2}}{5}$

10.

Find the exact value of the expression: $\sin\left(\tan^{-1}\left(-\frac{24}{7}\right)\right)$

a)

$-\frac{24}{25}$

b)

$\frac{24}{25}$

c)

$\frac{7}{25}$

d)

$-\frac{7}{25}$

PC Compositions of Trig Functions

Total questions: 10

Worksheet time: 31mins

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