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Chapter 6: Q. 59 (page 410)

Write the equation of a sine function that has the given characteristics.

Amplitude: 3

Period:蟺

Short Answer

Expert verified

Equation of a sine function isy=卤3sin2x

Step by step solution

01

Step 1. Given information

We have to write the equation of a sine function that has:

A=3T=蟺

02

Step 2. Find the equation of a sine function

To find the equation, refer the form y=Asin蝇x

and role="math" localid="1646330674044" 蝇=2蟺T

Solving for 蝇,

蝇=2蟺T蝇=2蟺蟺蝇=2

Substitute the values,

We haverole="math" localid="1646330752384" y=卤3sin2x

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Most popular questions from this chapter

For a circle of radius r, a central angle of u degrees subtends an arc whose length s iss=蟺180r胃 . Discuss whether this is a true or false statement. Give reasons to defend your position.

the point (x, y) is on the terminal side of angle in standard position. Find the exact value of the given trigonometric function

(6,-3),tan蠎

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

sec蟺-csc蟺2

Use the graph of the function to determine the domain and the range of function

y=csc(3蟺2x)

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

-90掳
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