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Question 1 of 5Find the exact value.
$$\text{cos}\hspace{.15em}247.5°$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$1 + \sqrt{2}$$
B
$$-\frac{\sqrt{2 + \sqrt{2}}}{2}$$
C
$$\sqrt{2}- 1$$
D
$$\frac{1}{2}$$
E
$$-\frac{\sqrt{2 - \sqrt{2}}}{2}$$
Question 2 of 5Find the exact value.
$$\text{tan}\hspace{.1em}\frac{11π}{8}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$-\frac{\sqrt{2 + \sqrt{2}}}{2}$$
B
$$1 - \sqrt{2}$$
C
$$1 + \sqrt{2}$$
D
$$\frac{\sqrt{2}}{2}$$
E
$$1 - \sqrt{3}$$
Question 3 of 5Find the exact value.
$$\text{tan}\hspace{.1em}x\hspace{.1em}=-\frac{12}{5}$$ $$90° < x < 180°$$ Find: $$\text{sin}\hspace{.1em}\frac{x}{2}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$5 - \sqrt{7}$$
B
$$\frac{1 - \sqrt{3}}{10}$$
C
$$-1$$
D
$$\frac{3 \sqrt{13}}{13}$$
E
$$\frac{\sqrt{5}+ 7}{133}$$
Question 4 of 5Find the exact value.
$$\text{sin}\hspace{.1em}x=-\frac{3}{5}$$ $$270° < x < 360°$$ Find: $$\text{sin}\frac{x}{2}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\frac{\sqrt{2}}{2}$$
B
$$\frac{\sqrt{10}}{10}$$
C
$$\frac{\sqrt{3}}{2}$$
D
$$-1$$
E
$$-\frac{3}{10}$$
Question 5 of 5Complete the identity
$$\frac{2}{1 + \text{cos}\hspace{.1em}β}- \text{tan}^2 \frac{β}{2}=$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$1$$
B
$$\text{cot}\hspace{.1em}\frac{β}{2}$$
C
$$\text{cot}^2 \frac{β}{2}- \text{sec}^2 \frac{β}{2}$$
D
$$1 - \text{cos}\frac{β}{2}+ \text{sin}\hspace{.1em}\frac{β}{2}$$
E
$$\text{cot}^2 \frac{β}{2}$$

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