Explanation Table used: The trigonometric functions of some special angles are shown in the below table. 30 ° 45 ° 60 ° sin 1 2 1 2 3 2 cos 3 2 1 2 1 2 tan 1 3 1 3 Reciprocal function: Let α be an acute angle of a right triangle. Then, the reciprocal function of sin α , cos α , and tan α are as follows. cot α = 1 tan α sec α = 1 cos α csc α = 1 sin α Calculation: The given function is cot ( − 315 ° ) . Since the sum of 45 ° and 315 ° is 360 ° , the angle 45 ° is co terminal with the angle 315 ° . Therefore, it is clear that, cot ( 45 ° ) = cot ( − 315 ° )

Algebra and Trigonometry: Graphs and Models (6th Edition)

6th Edition

ISBN: 9780134179049

Author: Marvin L. Bittinger, Judith A. Beecher, David J. Ellenbogen, Judith A. Penna

Publisher: PEARSON

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Chapter 6 Solutions

Algebra and Trigonometry: Graphs and Models (6th Edition)

Ch. 6.1 - In Exercises 1–6, find the six trigonometric...Ch. 6.1 - In Exercises 1–6, find the six trigonometric...Ch. 6.1 - In Exercises 1–6, find the six trigonometric...Ch. 6.1 - In Exercises 1–6, find the six trigonometric...Ch. 6.1 - In Exercises 1–6, find the six trigonometric...Ch. 6.1 - In Exercises 1–6, find the six trigonometric...Ch. 6.1 - Given that sin , cos , and tan , find csc α, sec...Ch. 6.1 - Prob. 8E Ch. 6.1 - Given a function value of an acute angle, find the...Ch. 6.1 - Prob. 10E

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The exact function value of cot ( − 315 ° ) .

Solution Summary: The author explains how the trigonometric functions of some special angles are shown in the below table.

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