Chapter 8: Q. 44 (page 555)

Use the method of adding y-coordinates to graph $y = 2 \sin (x) + \cos (2 x)$ .

Short Answer

Expert verified

The required graph is

Step by step solution

Step 1. Given Information

The given equation is $y = 2 \sin (x) + \cos (2 x)$ .

Step 2. Find the value at different points and Add

Find the values of $2 \sin (x) and \cos (2 x)$ for various points and then add the values.

x	0	$\frac{π}{6}$	$\frac{π}{4}$	$\frac{π}{3}$	$\frac{π}{2}$
$2 \sin (x)$	0	1	$\sqrt{2}$	$\sqrt{3}$	$2$
$\cos (2 x)$	1	$\frac{1}{2}$	0	$- \frac{1}{2}$	$- 1$
y	1	$\frac{3}{2}$	$\sqrt{2}$	$\sqrt{3} - \frac{1}{2}$	$1$

Step 3. Plot the Graph

Use the obtained values to plot the graph of the equation.

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Use the method of adding y-coordinates to graph $y = 2 \sin (x) + \cos (2 x)$ .

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Find the value at different points and Add

Step 3. Plot the Graph

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Use the method of adding y-coordinates to graphy=2sin(x)+cos(2x).

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Find the value at different points and Add

Step 3. Plot the Graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

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Study anywhere. Anytime. Across all devices.

Use the method of adding y-coordinates to graph $y = 2 \sin (x) + \cos (2 x)$ .