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The graph of y = cos.(x)/(2) is shown in...

The graph of `y = cos.(x)/(2)` is shown in Figure Point a has coordinates (t, 0). What is the value of t in radians ?

A

`(2pi)/(3)`

B

`(3pi)/(4)`

C

`(3pi)/(2)`

D

`3pi`

Text Solution

Verified by Experts

The correct Answer is:
D
The graph of `y = cos.(x)/(2)` has a period of `4pi`, since the period of y = a cos bx is `(2pi)/(b)`.
`(2pi)/((1)/(2)=4pi`
The curve has completed `(3)/(4)` of a period from the origin to point a. So the value of t is `(3)/(4)` of `4pi`, or `3pi`.
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