How do I identify the period and amplitude of a trigonometric function?
Answer 1
Courtney Watkins
To identify the period and amplitude of a trigonometric function, consider the general forms of sine and cosine functions: y = A*sin(Bx + C) + D and y = A*cos(Bx + C) + D. The amplitude is the absolute value of A, |A|, which represents the maximum displacement from the midline. The period is given by 2π/|B|, indicating the length of one complete cycle of the function. For tangent functions, y = A*tan(Bx + C) + D, the period is π/|B|.
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