Question 1 of 5: Find the exact value.
Select the Correct Answer: Correct! 
Not Correct! 
Not Correct! 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 5: Find the exact value.
Select the Correct Answer: Correct! Not Correct!
Not Correct! 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 5: Find the exact value.
Select the Correct Answer: Correct! Not Correct!
Not Correct! 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 5: Find the exact value.
Select the Correct Answer: Correct! Not Correct!
Not Correct! A
$$\frac{\sqrt{2}}{2}$$
B
$$\frac{\sqrt{10}}{10}$$
C
$$\frac{\sqrt{3}}{2}$$
D
$$-1$$
E
$$-\frac{3}{10}$$
Question 5 of 5: Complete the identity
Select the Correct Answer: Correct! Not Correct!
Not Correct! 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
$$\text{cot}^2 \frac{β}{2}$$
