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Chapter 6: Q. 34 (page 435)

In Problems 33 and 34 , determine the amplitude and period of each function without graphing.
$y = - 2 \cos (3 π x)$

Short Answer

Expert verified

The amplitude and time period is $- 2, \frac{2}{3}$ respectively

Step by step solution

01

Given information

Given function $y = - 2 \cos (3 π x)$

02

Compare with standard form and calculate

Comparing with $y = A \cos b x$ , we get

$A = - 2 T = \frac{2 π}{3 π} T = \frac{2}{3}$

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Most popular questions from this chapter

Covert each angle in degrees to radians. Express your answer as a multiple of $π$ .

Find the exact value of each expression. Do not use a calculator.

$\csc \frac{π}{2} + \cot \frac{π}{2}$

Convert each angle in degrees to radians. Express your answer as a multiple of $π$ .

$- 90 °$

In Problems $4 - 6$ convert each angle in radians to degrees.

localid="1646375027881" $4 . - \frac{π}{8}$

A __________ __________ is a positive angle whose vertex is at the center of a circle.

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