CK-12-Pre-Calculus Concepts

(Marvins-Underground-K-12) #1

http://www.ck12.org Chapter 5. Trigonometric Functions


You will see a complete cycle of the sine function in Example A. In Example B, you will see how thex-coordinates
produce the plot of the cosine curve.
Example A
Finish the table for heights of the points in quadrants III and IV and draw an entire cycle (known as a period) of the
sine function.
Solution:


TABLE5.4:
Angle (radians) Height (units)
π 7 π 0
6 −^12
54 π −

√ 2


2 ≈−^0.^707


43 π −

√ 3


3 π^2 ≈−^0.^866
2 -1
53 π −


23 ≈−^0.^866


74 π −√ 22 ≈− 0. 707

116 π − (^12)
2 π 0

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