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• Trigonometry
• The Unit Circle Tests
• Finding points and angles on the unit circle

# Finding points and angles on the unit circle

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•  Question 1: 1 pts An angle in standard form with a measure of $215^\circ$ lies in what quadrant?
 first second third fourth
•  Question 2: 1 pts An angle in standard form with a measure of $-320^\circ$ lies in what quadrant?
 first second third fourth
•  Question 3: 1 pts An angle in standard form with a measure of $500^\circ$ lies in what quadrant?
 first second third fourth
•  Question 4: 1 pts Which point from the graph at the right has coordinates (0,-1)
 A B C D
•  Question 5: 2 pts Which point from the graph at the right has coordinates $$\left(\frac12 , -\frac{\sqrt3}2\right)$$
 A B C D
•  Question 6: 2 pts The point $A\left(\frac12, \frac{\sqrt2}2\right)$ is on the unit circle.
•  Question 7: 2 pts The point $A\left(-\frac{\sqrt3}2, -\frac12\right)$ is on the unit circle
•  Question 8: 2 pts Which of the following points is not at the unit circle
 $A\left(\frac{\sqrt2}2, \frac{\sqrt2}2\right)$ $B(-1,0)$ $C\left(\frac12,-\frac12\right)$
•  Question 9: 2 pts Use the picture at the right to find $cos\alpha$
 $cos\alpha = -\frac8{17}$ $cos\alpha = \frac8{17}$ $cos\alpha = -\frac{15}{17}$ $cos\alpha = \frac{15}{17}$
•  Question 10: 2 pts Use the picture at the right to find $cos\alpha$
 $cos\alpha = -\frac{24}{25}$ $cos\alpha = \frac{24}{25}$ $cos\alpha = \frac7{25}$ $cos\alpha = -\frac7{25}$
•  Question 11: 3 pts Find $y$ such that the point A is on the unit circle.
 $y = \frac{\sqrt2}2$ $y = \frac{\sqrt3}2$ $y = \frac12$
•  Question 12: 3 pts Find x such that the point A is on the unit circle.
 $x = \frac {\sqrt2}2$ $x = -\frac {\sqrt2}2$ $x = \frac{\sqrt3}2$ $x=-\frac{\sqrt3}2$