Math  /  Trigonometry

QuestionFind the amplitude and period for 3cos(2x)-3 \cos (2 x).

Studdy Solution
Identify the period of the function 3cos(2x) -3 \cos(2x) .
The period of a cosine function acos(bx) a \cos(bx) is calculated using the formula:
Period=2πb \text{Period} = \frac{2\pi}{b}
In this case, b=2 b = 2 .
Period=2π2=π \text{Period} = \frac{2\pi}{2} = \pi
The amplitude is 3 \boxed{3} and the period is π \boxed{\pi} .

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