Prove the identity sin(7 – 0) = sin 0. %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 41E
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Prove the identity sin(7 – ) = sin 0.
sin(7 – 0)
(sin 7) – (sin 6) Apply the identity for sin(A – B).
F
(0) – (sin 0)
Evahuate.
sin e
Simplify.
sin(7 – 0)
(sin 7)(cos 0) – (cos 7)(sin 0)
Apply the identity for sin(A – B).
(0)(cos 0) – (sin O)
Evaluate.
sin e
Simplify.
sin(7 – 0)
(sin 7)(cos 0) – (cos 7)(sin 0)
Apply the identity for sin(4 – B).
H
(0)(cos 0) – (-1)(sin 0)
Evaluate.
sin e
Simplify.
sin(7 – 0)
(sin 7)(sin 0) – (cos 7)(cos 0)
Apply the identity for cos(A – B).
J
(0)(cos 0) – (-1)(sin ở)
Evaluate.
sin e
Simplify.
%3D
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Transcribed Image Text:Prove the identity sin(7 – ) = sin 0. sin(7 – 0) (sin 7) – (sin 6) Apply the identity for sin(A – B). F (0) – (sin 0) Evahuate. sin e Simplify. sin(7 – 0) (sin 7)(cos 0) – (cos 7)(sin 0) Apply the identity for sin(A – B). (0)(cos 0) – (sin O) Evaluate. sin e Simplify. sin(7 – 0) (sin 7)(cos 0) – (cos 7)(sin 0) Apply the identity for sin(4 – B). H (0)(cos 0) – (-1)(sin 0) Evaluate. sin e Simplify. sin(7 – 0) (sin 7)(sin 0) – (cos 7)(cos 0) Apply the identity for cos(A – B). J (0)(cos 0) – (-1)(sin ở) Evaluate. sin e Simplify. %3D ||
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