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.
Here#y=5cosx# .
Max value of#cosx=1#
Thus, max value of#y# is#5# . - 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. - Graph:
graph{ y = 5 cos x [-10.25, 9.75, -4.92, 5.08]}