# How to find the amplitude period and frequency of a trig function

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## Amplitude, Period and Frequency

As we have seen, trigonometric functions follow an alternating pattern between hills and valleys. The amplitude of a trigonometric function is half the distance from the highest point of the curve to the bottom point of the curve: \text {

## Amplitude & period of sinusoidal functions from equation (video)

amplitude A = 2; period 2 π /B = 2 π /4 = π /2; phase shift = −0.5 (or 0.5 to the right) vertical shift D = 3; In words: the 2 tells us it will be 2 times taller than usual, so Amplitude = 2; the usual period is 2 π, but in our case that is sped up

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