In algebra, we note that for any real numbers a, b, and c, the equation c(a – b) = ca – cb is an identity. Can we conclude that the equation cos(A – B) = cos A – cos B is an identity? Explain. Can sin θ, cos θ, and tan θ all be negative for any angle θ? Explain. Explain, in your own words, how reference angles are used to find the trigonometric functions of an obtuse angle.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 3E
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In algebra, we note that for any real numbers a, b, and c, the equation c(a – b) = ca – cb is an identity. Can we conclude that the equation cos(A – B) = cos A – cos B is an identity? Explain. Can sin θ, cos θ, and tan θ all be negative for any angle θ? Explain. Explain, in your own words, how reference angles are used to find the trigonometric functions of an obtuse angle.
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