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Question 1 of 5: Find the exact value.
$$\text{cos}^{-1}\left(\text{cos}\left(-\frac{20π}{3}\right)\right)$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\frac{π}{3}$$
B
$$\frac{5π}{6}$$
C
$$-\frac{20π}{3}$$
D
$$\frac{2π}{3}$$
E
$$\frac{9π}{2}$$
Question 2 of 5: Solve each equation for exact solutions.
$$\text{cos}^{-1}(x)=\text{sin}^{-1}\left(\frac{12}{13}\right)$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$x=\frac{5}{13}$$
B
$$x=\frac{3}{13}$$
C
$$x=\frac{13}{12}$$
D
$$\text{No Solution}$$
E
$$x=\frac{\sqrt{2}}{13}$$
Question 3 of 5: Solve each equation for exact solutions.
$$\frac{6}{11}\text{sin}^{-1}\left(\frac{x}{2}\right)=π$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$x=\frac{2\sqrt{3}}{2}$$
B
$$x=\frac{\sqrt{3}}{2}$$
C
$$\text{No Solution}$$
D
$$x=-1$$
E
$$x=\sqrt{3}$$
Question 4 of 5: Solve each equation for exact solutions.
$$\text{sin}^{-1}(x) + \text{sin}^{-1}(2x)=\frac{π}{2}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\text{No Solution}$$
B
$$x=\frac{\sqrt{5}}{5}$$
C
$$x=\frac{\sqrt{3}}{5}$$
D
$$x=\frac{4}{5}$$
E
$$x=\frac{\sqrt{5}}{13}$$
Question 5 of 5: Solve each equation for exact solutions.
$$\text{cos}^{-1}(x) + \text{sin}^{-1}(2x)=\frac{π}{6}$$
Finish »
Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$x=-2\sqrt{2}$$
B
$$x=-\frac{1}{2}$$
C
$$\text{No Solution}$$
D
$$x=\sqrt{3}$$
E
$$x=\frac{\sqrt{3}}{2}$$

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