bm42400
bm42400 bm42400
  • 24-04-2019
  • Mathematics
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(4Q) What is the amplitude and period of f(t)= -2cos (3t)

4Q What is the amplitude and period of ft 2cos 3t class=

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 24-04-2019

ANSWER

d. The amplitude is 2

period:

[tex]\frac{2\pi}{3} [/tex]

EXPLANATION

The given function is

[tex]f(t) = - 2 \cos(3t) [/tex]

This function is of the form,

f(t) = a cos(bt)

The amplitude of this function is |a|

where a=-2

[tex] | - 2| = 2[/tex]

The period of this function is given by,

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

But b=3,

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

Option D is correct.

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