Explanation Definition used: 1. Let x be the radian measure of an angle in standard position, and let P = ( a , b ) be the point on the unit circle that lies on the terminal side of the angle in Figure 1. Then sin x = b and cos x = a . 2. The trigonometric function cot x = cos x sin x ; where sin x ≠ 0 . Calculation: The value of the expression cot 30 ° is evaluated as follows. By the above definition, the expression cot 30 ° can be rewritten as cot 30 ° = cos 30 ° sin 30 ° . The terminal side of an angle of degree measure 30 passes through the point A ( 3 2 , 1 2 ) on the unit circle as shown below in Figure 2.

Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)

14th Edition

ISBN: 9780134668574

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

Publisher: PEARSON

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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.

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Chapter 8.2, Problem 1E

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Chapter 8.2, Problem 1ED

Chapter 8.2, Problem 2E

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Chapter 8 Solutions

Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)

Ch. 8.1 - Find the degree measure of 1 rad.Ch. 8.1 - Without using a calculator, find: (A)cot 45 (B)cos...Ch. 8.1 - Solve the right triangle in Figure 14. Round side...Ch. 8.1 - Solve the right triangle in Figure 16. Round...Ch. 8.1 - Repeat Example 5 assuming that the man is standing...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...

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The exact value of the expression cot 30 ° without the use of a calculator.

Solution Summary: The author explains how the expression mathrmcot30° is evaluated without the use of a calculator.

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