Question

Graphing trigometric functions

Answer 1

Period of the function is 4π

Explanation:

Given is a graph:

It oscillates between -1 and +1

The graph shows angles on x axis and trig values on y axis.

The graph has value +1 when x=0 and reaches minimum -1 when x =2pi and again reaches y=1 when x =4 π

Thus we find that this is a periodic function with amplitude 1 and phase shift 0 and period 4π

So we get the period of the trignometric funciton is 4π

So option 1 is right

Verify:

Given function is y = cos
`(1)/(2)x`

Since parent function y =cosx has a period of 2pi, we have

here period = 2pi/coefficient of x in cos

=2pi/(1/2)

=4pi