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ANSWER

[tex]c. \: \frac{\pi}{3} [/tex]

EXPLANATION

The given trigonometric cosine function is

[tex]y = 1.5 \cos(6x) [/tex]

This function is of the form,

[tex]y = A \cos(Bx) [/tex]

where B=6.

The period of this cosine function is given by;

[tex]T= \frac{2\pi}{B} [/tex]

We substitute the value of B to obtain;

[tex]T= \frac{2\pi}{6} = \frac{\pi}{3} [/tex]

The correct choice is C

ShyzaSling

Answer:

option c

π/3

Step-by-step explanation:

Given in the question an equation,

y = 1.5sin(6x)

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

Period = [tex]\frac{2\pi }{|b|}[/tex]

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 .

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