How to find the amplitude and period of a graph

Asked by admin @ 09/11/2021 in Mathematics viewed by 292 People

Determine the amplitude, period, and phase shift for y=7 cos (0 - 90 degrees) and use them to plot the graph of the function

Answered by admin @ 09/11/2021

Answer:

Amplitude=7

Period= $2\pi$

Phase shift= $90^{\circ}=\frac{\pi}{2} rad$

Step-by-step explanation:

We are given that

$y=7cos(\theta-90^{\circ})$

We have to find the amplitude , period and phase shift for given equation.

We know that a function

$y=Acos(bx+c)+d$

Where A=Amplitude of function

Period= $|\frac{2\pi}{b}|$

Phase shift= $-\frac{c}{b}$

By comparing we get

Amplitude=7

Period= $2\pi$

Phase shift= $90^{\circ}=\frac{\pi}{2} rad$

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