Answered: Use well-known trigonometric identities…

Use well-known trigonometric identities to determine which of the following equations are identities. (a) sin θ sec θ = tan θ (b) tan2 θ − sec2 θ = 1 (c) 1/tan θ + 1/cot θ = sec θ csc θ

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 69E

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Question

Use well-known trigonometric identities to determine which of the following equations are identities.

(a) sin θ sec θ = tan θ

(b) tan² θ − sec² θ = 1

Equations that give the relation between different trigonometric functions and are true for any value of the variable for the domain. There are six trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant.

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