Unformatted text preview: s the length of time it takes to complete one cycle of the sinusoid,
the angular frequency tells how many cycles are completed over an interval of length 2π , and the
ordinary frequency measures how many cycles occur per unit of time. The phase indicates what
2 See Section 6.5.
Sine haters can use the co-function identity cos π
2 − θ = sin(θ) to turn all of the sines into cosines. 748 Applications of Trigonometry angle φ corresponds to t = 0, and the phase shift represents how much of a ‘head start’ the sinusoid
has over the un-shifted sine function. The ﬁgure below is repeated from Section 10.5. amplitude baseline period
In Section 10.1.1, we introduced the concept of circular motion and in Section 10.2.1, we developed
formulas for circular motion. Our ﬁrst foray into sinusoidal motion puts these notions to good use.
Example 11.1.1. Recall from Exercise 8 in Section 10.1 that The Giant Wheel at Cedar Point is
a circle with diameter 128 feet which sits on an 8 foot tall p...
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