What Are 04.05b Analyzing The Sine And Cosine Functions?
04.05b Analyzing the Sine and Cosine Functions
Choice #1 f(θ) = cos(θ)
• Amplitude: The amplitude of this cosine function is 1 since there is no number in front of cos to represent |a|. The designated amplitude is therefore 1 meaning the maximum = 1 and the minimum = -1. The cos curve will be in between these two points. The largest y-coordinate on the unit circle is 1 since the radius will always by 1.
• Period: The period of this cosine function is 2π meaning the function repeats its self after every period value of 2π. 2π is also the circumference of the unit circle.
• Domain: The domain value is any value that can be theta therefore it is all real numbers. Domain = (-∞,∞). The domain can be any point around the unit circle meaning
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