Unformatted text preview: encies and periods in the sections to come. While we have exhaustively discussed
velocities associated with circular motion, we have yet to discuss a more natural question: if an
object is moving on a circular path of radius r with a ﬁxed angular velocity (frequency) ω , what
is the position of the object at time t? The answer to this question is the very heart of college
Trigonometry and is answered in the next section. 608 Foundations of Trigonometry 10.1.2 Exercises 1. Convert each angle to the DMS system. Round your answers to the nearest second.
(a) 63.75◦ (b) 200.325◦ (c) −317.06◦ (d) 179.999◦ 2. Convert each angle to decimal degrees. Round your answers to three decimal places.
(a) 125◦ 50 (b) −32◦ 10 12 (c) 502◦ 35 (d) 237◦ 58 43 3. Graph each oriented angle in standard position. Classify each angle according to where its
terminal side lies and give two coterminal angles, one positive and one negative.
(b) −135◦ 5π
4 (e) π
(g) − 4. C...
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