How do you find the amplitude, period and graph y=5costheta?

1 Answer
Apr 18, 2017

Amplitude = 5
Period = 2pi
Graph:
graph{ y = 5 cos x [-10.25, 9.75, -4.92, 5.08]}

Explanation:

  1. Amplitude is basically the maximum value y can have.
    Here y=5cosx.
    Max value of cosx=1
    Thus, max value of y is 5.
  2. Period of a function is defined as f(x)=f(x+t), where t is the period of function f(x). It is basically a value after which the graph repeats itself.
    For the give function y=5cosx, the period is 2pi.
    As cos(x)=cos(2pi-x).
    You can see from the graph below the fuctions repeats at 2pi intervals.
  3. Graph:

graph{ y = 5 cos x [-10.25, 9.75, -4.92, 5.08]}