# 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]}