Explanation Given: sin x = − 1 2 and the interval [ 0 , 2 π ) . Formula used: sin ( π + α ) = − sin ( α ) , 0 < α < π 2 sin ( 2 π − α ) = − sin α , 0 < α < π 2 Calculation: sin x = − 1 2 sin x = − sin ( π 6 ) ( Since sin ( π 6 ) = 1 2 ) Recall that, sin ( π − α ) = − sin ( α ) , 0 < α < π 2

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

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Chapter 1.2, Problem 15PS

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To solve the equation sinx=−12 on [0, 2π) .

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Chapter 1.2, Problem 14PS

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Chapter 1 Solutions

Calculus

Ch. 1.1 - Prob. 1PS Ch. 1.1 - Prob. 2PS Ch. 1.1 - Prob. 3PS Ch. 1.1 - Prob. 4PS Ch. 1.1 - Prob. 5PS Ch. 1.1 - Prob. 6PS Ch. 1.1 - Prob. 7PS Ch. 1.1 - Prob. 8PS Ch. 1.1 - Prob. 9PS Ch. 1.1 - Prob. 10PS

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To solve the equation sin x = − 1 2 on [ 0 , 2 π ) .

Solution Summary: The author explains how to solve the equation mathrmsinx=-12 and the interval.

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To solve the equation sinx=−12 on [0, 2π) .

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Chapter 1 Solutions