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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.
$x = \frac {\sqrt2}2$
$x = -\frac {\sqrt2}2$
$x = \frac{\sqrt3}2$
$x=-\frac{\sqrt3}2$
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