Restricting Domain of Trigonometric Functions to Allow for Construction of Inverse: CCSS.Math.Content.HSF-TF.B.6

Practice Questions

Common Core: High School - Functions › Restricting Domain of Trigonometric Functions to Allow for Construction of Inverse: CCSS.Math.Content.HSF-TF.B.6

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1

Find the exact value of the following statement.

$f(x)=\sin^{-1}(-1)$

2

Find the exact value of the following statement.

$f(x)=\sin^{-1}(1)$

3

Find the exact value of the following statement.

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

4

Find the exact value of the following statement.

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

5

Find the exact value of the following statement.

$f(x)=\sin^{-1}(0)$

6

Find the exact value of the following statement.

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

7

Find the exact value of the following statement.

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

8

Find the exact value of the following statement.

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

9

Find the exact value of the following statement.

$f(x)=\cos^{-1}(0)$

10

Find the exact value of the following statement.

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

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