Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 1 - Functions - 1.4 Trigonometric Functions and Their Inverse - 1.4 Exercises: 1

Answer

The six trigonometric functions in terms of a right triangle are as follows: sinΘ = $opposite/hypotenuse$ cosΘ = $adjacent/hypotenuse$ tanΘ = $opposite/adjacent$ cscΘ = $hypotenuse/opposite$ secΘ = $hypotenuse/adjacent$ cotΘ = $adjacent/opposite$
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Work Step by Step

The trig functions sinΘ, cosΘ, and tanΘ are reciprocals of cscΘ, secΘ, and cotΘ respectively. The terms opposite, hypotenuse, and adjacent are defined as: opposite - The side of the triangle opposite from the theta symbol (Θ). adjacent - The side of the triangle next to the theta symbol (Θ). hypotenuse - The side of the triangle opposite of the right angle.
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