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Question 1 of 5: Find the exact value.
$$\text{cos}^{-1}(0)$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\text{Does not exist}$$
B
$$\frac{π}{2}$$
C
$$\frac{π}{6}$$
D
$$\frac{2π}{3}$$
E
$$π$$
Question 2 of 5: Find the exact value.
$$\text{sin}^{-1}\left(\text{csc}\left(-\frac{π}{2}\right)\right)$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\frac{π}{3}$$
B
$$-\frac{π}{4}$$
C
$$π$$
D
$$-\frac{π}{2}$$
E
$$\text{Does not exist}$$
Question 3 of 5: Find the exact value.
$$\text{tan}^{-1}\left(\text{sin}\left(\frac{π}{2}\right)\right)$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\frac{π}{4}$$
B
$$π$$
C
$$\frac{5π}{6}$$
D
$$-\frac{π}{4}$$
E
$$-\frac{3π}{4}$$
Question 4 of 5: Write as an algebraic expression in u.
$$\text{tan}\left(\text{sin}^{-1}\left(\frac{u}{\sqrt{u^{2}+ 1}}\right)\right)$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\frac{u\sqrt{2}}{2}$$
B
$$\frac{u + 5}{2}$$
C
$$u$$
D
$$\frac{u}{2}$$
E
$$\frac{\sqrt{u + 1}}{4}$$
Question 5 of 5: Find the exact value.
$$\text{sin}\left(2\text{cos}^{-1}\left(\frac{1}{5}\right)\right)$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\frac{4\sqrt{6}}{25}$$
B
$$\frac{2\sqrt{5}}{13}$$
C
$$\frac{\sqrt{13}}{19}$$
D
$$\frac{13}{15}$$
E
$$\frac{19π}{3}$$

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