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Chapter 6: Q 21. (page 409)

Match the given function to one of the graphs.
$y = 2 \sin (\frac{π}{2} x)$ .

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 :

$y = 2 \sin (\frac{π}{2} x)$ .

02

Step 2. Graphing utility.

For $ω > 0$ , the amplitude and period of $y = A \sin (ω x)$ is given by

Amplitude $= |A|$ , Period, $T = \frac{2 π}{ω}$ .

On comparing, we get

$A = 2, ω = \frac{π}{2}$

Period $T = \frac{2 π}{\frac{π}{2}} = 4$

The graph is

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Most popular questions from this chapter

Convert each angle in degree to radians. express your answer as a multiple of $π$ .

$- 225 °$

True or false The function $f (x) = \sqrt{x}$ is even.

Use the graph to determine the domain

and the range of function

$y = \tan (\frac{1}{4} x) + 1$

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.

$210 °$

find the value of the remaining five trigonometric functions of $ϑ$

$\sin ϑ = \frac{5}{7}$ , $ϑ$ in Second Quadrant.

See all solutions

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