Question

Find the period of the function..
y=1.5 cos 6x

Answer 1

option c

π/3

Explanation:

Given in the question an equation,

y = 1.5sin(6x)

We know that, the period of y = asin(bx) is given by

Period =
`(2\pi )/(|b|)`

here,

a = 1.5

b = 6

so,

plug value in the formula

Period = 2π / (6)

divide by 2

= 1π / 3

The period of the function is π/3 .

Answer 2

`c. \: (\pi)/(3)`

EXPLANATION

The given trigonometric cosine function is

`y = 1.5 \cos(6x)`

This function is of the form,

`y = A \cos(Bx)`

where B=6.

The period of this cosine function is given by;

`T= (2\pi)/(B)`

We substitute the value of B to obtain;

`T= (2\pi)/(6) = (\pi)/(3)`

The correct choice is C