Explanation Since θ deg = 45 ° , it can be observed from the Figure that the terminal side of an angle with degree measure of 45 ° passes through ( x , y ) on the unit circle. Obtain the graph of quarter-circle with radius of 1 unit such that an isosceles triangle of equal sides 1 unit can be constructed as shown below in Figure 1. In Figure 1, PS is a perpendicular drawn in an isosceles triangle that gives another isosceles triangle of equal angles 45 ° . Thus, Q S = P S as triangle PQS is an isosceles triangle with equal angles of 45 ° . That is, x = y . Use Pythagoras theorem and obtain the value of x as follows. P Q 2 = Q S 2 + P S 2 1 2 = x

Calculus for Business, Economics, Life Sciences, and Social Sciences (13th Edition)

13th Edition

ISBN: 9780321869838

Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen

Publisher: PEARSON

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Chapter 8.1, Problem 10E

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Chapter 8.1, Problem 9E

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Chapter 8 Solutions

Calculus for Business, Economics, Life Sciences, and Social Sciences (13th Edition)

Ch. 8.1 - Find the degree measure of 1 rad.Ch. 8.1 - Prob. 2MP Ch. 8.1 - Prob. 3MP Ch. 8.1 - Prob. 1ED Ch. 8.1 - Prob. 1E Ch. 8.1 - In Problems 18, mentally convert each degree...Ch. 8.1 - In Problems 18, mentally convert each degree...Ch. 8.1 - In Problems 18, mentally convert each degree...Ch. 8.1 - In Problems 18, mentally convert each degree...Ch. 8.1 - In Problems 18, mentally convert each degree...

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The exact value of sin 45 ° .

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