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]}