sin x = 0.1 (a) Use the graph shown below to estimate (to the nearest 0.05) a root of the equation within the interval o s x s m/2. L0 a9 06+ as 04+ 03 02- ai a2 a3 04 as a6 07 as a9 LO LI 1.2 1.3 1.4 1S y = sin x, 0 s xs R/2

sin x = 0.1 (a) Use the graph shown below to estimate (to the nearest 0.05) a root of the equation within the interval o s x s m/2. L0 a9 06+ as 04+ 03 02- ai a2 a3 04 as a6 07 as a9 LO LI 1.2 1.3 1.4 1S y = sin x, 0 s xs R/2

Name: sec 8.2 You are given an equation of the form sin x = k where k > 0.si
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Description: sec 8.2 You are given an equation of the form sin x = k where k > 0.sin x = 0.1(a) Use the graph shown below to estimate (to the nearest 0.05) a root of the equation within the interval 0 sx < T/2.1.0 -0.90.80.70.60.50.4 -0.3-0.20.1 -0.10.20.3 0.4 0.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.

Topic Video

Question

sec 8.2

You are given an equation of the form sin x = k where k > 0.
sin x = 0.1
(a) Use the graph shown below to estimate (to the nearest 0.05) a root of the equation within the interval 0 sx < T/2.
1.0 -
0.9
0.8
0.7
0.6
0.5
0.4 -
0.3-
0.2
0.1 -
0.1
0.2
0.3 0.4 0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2
1.3
1.4 1.5 1
y = sin x, 0 <xS T/2
(b) Use a calculator (with the inverse sine function) to obtain a more accurate value for the root in part (a). Round the answer to four decimal places.
(c) Use the reference-angle concept and a calculator to find another root of the equation (within the interval 0 < x< 2n). Round the answer to four decimal places.
(d) Use the reference-angle concept and a calculator to find all solutions of the equation sin x = -k within the interval 0<x< 2n. Round the answer to four decimal places. (Enter your answers as a comma-separated list.)

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