Chapter 6: Q. 95 (page 412)

Graph $y = | \sin x |, - 2 π \leq x \leq 2 π$

Short Answer

Expert verified

The required graph of the given function

Step by step solution

Step 1.Given information

The given function $y = | \sin x |, - 2 π \leq x \leq 2 π$

Step 2.Finding (x,y)values.

According to the periodic property of the sine function, $\sin (x + 2 π) = sinx$ . Therefore sine function has a period of $2 π$ . Substitute some values for $x$ to get the corresponding values for $y$ . This is summarized in the table.

x	y=\|sinx\|	(x,y)
0	0	$(0, 0)$
$\frac{π}{2}$	1	$(\frac{π}{2}, 1)$
$\frac{3 π}{2}$	1	$(\frac{3 π}{2}, 1)$
$π$	0	$(π, 0)$
$2 π$	0	$(2 π, 0)$
$- \frac{π}{2}$	1	$(- \frac{π}{2}, 1)$
$- \frac{3 π}{2}$	1	$(- \frac{3 π}{2}, 1)$
$- π$	0	$(- π, 0)$
$- 2 π$	0	$(- 2 π, 0)$

Step 3.Graph of the given function

Plot the graph by using the table values

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Graph $y = | \sin x |, - 2 π \leq x \leq 2 π$

Short Answer

Step by step solution

Step 1.Given information

Step 2.Finding (x,y)values.

Step 3.Graph of the given function

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Graphy=|sinx|,-2π≤x≤2π

Short Answer

Step by step solution

Step 1.Given information

Step 2.Finding (x,y)values.

Step 3.Graph of the given function

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Applied Mathematics

Probability and Statistics

Discrete Mathematics

Calculus

Logic and Functions

Study anywhere. Anytime. Across all devices.

Graph $y = | \sin x |, - 2 π \leq x \leq 2 π$