Ap Physics 1 Summer Assignment Worksheet Page 5

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You will need to be familiar with trigonometric values for a few common angles. Memorizing this unit circle
diagram in degrees or the chart below will be very beneficial for next year in both physics and pre-calculus.
How the diagram works is the cosine of the angle is the x-coordinate and the sine of the angle is the y-
coordinate for the ordered pair. Write the ordered pair (in fraction form) for each of the angles shown in the
table below
θ
cosθ
sinθ
90°
60°
30°
45°
45°
60°
30°
90°
Refer to your completed chart to answer the following questions.
10. At what angle is sine at a maximum?
11. At what angle is sine at a minimum?
12. At what angle is cosine at a minimum?
13. At what angle is cosine at a maximum?
14. At what angle are the sine and cosine equivalent?
15. As the angle increases in the first quadrant, what happens to the cosine of the angle?
16. As the angle increases in the first quadrant, what happens to the sine of the angle?

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