Q. What is the amplitude of y=−4cos(5x−9)−7 ?□ units
Amplitude Definition: The amplitude of a trigonometric function like y=Acos(Bx−C)+D is the absolute value of the coefficient A. This is because the amplitude represents the maximum distance from the function's midline (which is y=D) to its peak or trough.
Identifying Coefficient A: In the given function y=−4cos(5x−9)−7, the coefficient A is −4. To find the amplitude, we take the absolute value of −4, which is 4.
Calculating Amplitude: The amplitude of the function is therefore 4 units.
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