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Chapter 6: Q 22. (page 409)

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

Short Answer

Expert verified

The correct option is (E). The graph is

Step by step solution

01

Step 1. Given Information.

Match the given function to one of the graphs.

$y = 2 \cos (\frac{π}{2} x)$ .

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

In problems 13-20, $P (x, y)$ is the point on the unit circle that corresponds to a real number $t$ . Find the exact values of the six trigonometric functions of $t$ .

$(\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2})$ .

find the value of the remaining five trigonometric functions of

$\tan ϑ = \frac{- 12}{5} π / 2 < ϑ < π$

In problems 13-20, $P (x, y)$ is the point on the unit circle that corresponds to a real number $t$ . Find the exact values of the six trigonometric functions of $t$ .

$(- \frac{1}{5}, \frac{2 \sqrt{6}}{5})$ .

Convert angle in radian to degree-

$4 π$

A function for which $f (x) = f (- x)$ for all $x$ in the domain of $f$ is called a(n) ___ function.

See all solutions

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