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

Angle Measurement

Right triangle

Unit circle

Trigonometric identities