Page 10 - Student Binder for AP Unit 1 Unit Circle_Neat

AP 1.4:B Unit Circle and Radian Practice (all angles/ratios simplified)
Name ____________________________ Date __________ Period _________
1) Fill in entire unit circle.

____° ___ ( ___ , ___ )

____° ___ ( ___ , ___ ) ____° ___ ( ___ , ___ )

____° ___ ( ___ , ___ ) ____° ___ ( ___ , ___ )

____° ___ ( ___ , ___ ) ____° ___ ( ___ , ___ )

____° ___ ( ___ , ___ )
____° ___ ( ___ , ___ )
____° ___ ( ___ , ___ )

____° ___ ( ___ , ___ ) ____° ___ ( ___ , ___ )

____° ___ ( ___ , ___ ) ____° ___ ( ___ , ___ )

____° ___ ( ___ , ___ ) ____° ___ ( ___ , ___ )
____° ___ ( ___ , ___ )

Find the quadrant and reference angles for the following angles:
7π 5π 9π
2) _______ 3) _______ 4) 135° _______ 5) 530° _______ 6) _______
6 3 2
_______ _______ _______ _______ _______

Convert each angle measure from degrees to radians.
7) 30° _______ 8) 90° _______ 9) 120° _______ 10) 520° _______

11) 75° _______ 12) 210°_______ 13) 180° _______ 14) 270° _______

Convert each radian measure to degrees.
π 4π π
15) _______ 6) _______ 17) _______ 18) π _______
2 3 2
π 16π 21π
19) _______ 20) _______ 21) − _______ 22) 5π _______
3 5 4

23) Why is cos –x = cos x when sin(-t) = -sin(t)? Make sure you know this and note it in your
composition book. It is an important property of trig angles.