How do you find the amplitude, period and graph y=5costheta?
1 Answer
Apr 18, 2017
Amplitude =
Period =
Graph:
graph{ y = 5 cos x [-10.25, 9.75, -4.92, 5.08]}
Explanation:
- Amplitude is basically the maximum value
y can have.
Herey=5cosx .
Max value ofcosx=1
Thus, max value ofy is5 . - Period of a function is defined as
f(x)=f(x+t) , where t is the period of functionf(x) . It is basically a value after which the graph repeats itself.
For the give functiony=5cosx , the period is2pi .
Ascos(x)=cos(2pi-x) .
You can see from the graph below the fuctions repeats at2pi intervals. - Graph:
graph{ y = 5 cos x [-10.25, 9.75, -4.92, 5.08]}