Unit Circle Exploration
Explore the unit circle, its angles, coordinates, and trigonometric values at Grade 10 level.
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Unit Circle Exploration
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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.
1. What is the radius of the unit circle?
2. In the unit circle, what do the x and y coordinates of a point on the circle represent in terms of trigonometric functions for an angle θ?
3. Convert 150° to radians.
5π/6
π/6
2π/3
π/3
4. The coordinates of the point on the unit circle corresponding to an angle of 30° are ( , ).
5. For an angle of 270°, the coordinates on the unit circle are ( , ).
6. Find the exact value of sin(π/4).
7. Find the exact value of cos(120°).
8. The tangent function is undefined at angles where the x-coordinate on the unit circle is zero.
True
False
9. Plot the point on the unit circle corresponding to an angle of 210°. Label the coordinates.