Free Printable Composition of Inverses In-Class Quiz

1.

Evaluate: sin(arctan(-5/12))

a)

-5/13

b)

-12/13

c)

-5/12

d)

-12/5

2.

$\cos^{-1}\left(\cos\left(\frac{5\pi}{4}\right)\right)$

a)

$\frac{5\pi}{4}$

b)

$\frac{\pi}{4}$

c)

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

d)

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

3.

$\sec\left(\sin^{-1}\left(-\frac{3}{7}\right)\right)$

a)

$\frac{7\sqrt{10}}{20}$

b)

$\frac{7}{2}$

c)

$\frac{2\sqrt{10}}{7}$

d)

$\frac{7\sqrt{10}}{10}$

4.

$\cot^{-1}\left(\tan\left(\frac{13\pi}{6}\right)\right)=$

a)

undefined

b)

$\frac{\pi}{3}$

c)

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

d)

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

5.

$\sin^{-1}\left(\sin\left(\frac{7\pi}{6}\right)\right)=$

a)

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

b)

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

c)

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

d)

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

6.

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

a)

$\frac{3}{\pi}$

b)

$\frac{\pi}{3}$

c)

undefined

d)

$\frac{1}{2}$

7.

$\sec\left(\sin^{-1}\left(\tan\left(\frac{3\pi}{4}\right)\right)\right)$

a)

undefined

b)

-1

c)

0

d)

1

8.

$\cot\left(\cos^{-1}\left(\frac{\sqrt{2}}{5}\right)\right)=$

a)

$\frac{2\sqrt{23}}{23}$

b)

$\frac{\sqrt{46}}{23}$

c)

$23\sqrt{2}$

d)

$2\sqrt{23}$

9.

$\tan\left(\sin^{-1}\left(\cos\left(\sin^{-1}\left(-\frac{4}{5}\right)\right)\right)\right)$

a)

2/3

b)

4/3

c)

2/5

d)

3/4

10.

$\cos\left(\csc^{-1}\left(\sec\left(\cos^{-1}\left(-\frac{12}{13}\right)\right)\right)\right)$

a)

5/13

b)

12/13

c)

-12/13

d)

-5/12

Composition of Inverses In-Class Quiz

Total questions: 10

Worksheet time: 18mins

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