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Chapter 6: Q 24. (page 409)

Match the given function to one of the graphs.
$y = 3 \cos (2 x)$ .

Short Answer

Expert verified

The correct option is I.

The graph is

Step by step solution

01

Step 1. Given Information.

Match the given function to one of the graphs.

$y = 3 \cos (2 x)$ .

02

Step 2. Graphing Utility.

The given quation will be

$y = A \cos (ω x)$ $T = \frac{2 π}{ω}$ where A=amplitude , period $T = \frac{2 π}{ω}$ .

Here, on comparing, we get

$A = 3, ω = 2$

Period will be $T = \frac{2 π}{2} = π$ .

The graph will be :

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Most popular questions from this chapter

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

$\sin \frac{π}{8}$

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

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

In the problem, $s$ denotes the length of the arc of a circle of radius $r$ subtended by the central angle $θ$ . Find the missing quantity. Round answers to three decimal places.

$r = 6$ feet, $θ = 2$ radians, $s = ?$

Convert each angle to a decimal in degrees. Round your answer to two decimal places.

$40 ° 10' 25''$

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

$3 \csc \frac{π}{3} + \cot \frac{π}{4}$

See all solutions

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