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Chapter 6: Q 21. (page 409)

Match the given function to one of the graphs.

y=2sin蟺2x.

Short Answer

Expert verified

The correct option is (F) . The graph is

Step by step solution

01

Step 1. Given Information.

Match the graph with an equation :

y=2sin蟺2x.

02

Step 2. Graphing utility.

For 蝇>0, the amplitude and period of y=Asin蝇xis given by

Amplitude =A, Period, T=2蟺蝇.

On comparing, we get

A=2,蝇=蟺2

Period T=2蟺蟺2=4

The graph is

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Most popular questions from this chapter

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

Amplitude: 3

Period:2

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

2sec蟺4+4cot蟺3

Find the exact values of the six trigonometric functions of the given angle. If any are not defined, say "not defined." Do not use a calculator.

13蟺6

Use a calculator to find the approximate value of each expression rounded to two decimal places.

sin蟺8

Find the exact values of the six trigonometric functions of the given angle. If any are not defined, say "not defined." Do not use a calculator.

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