Prove that the equation is an identity. (sin 0 - cos 0)² + 2 cos 0 sin 0 = 1 Working from the left-hand side, multiply out the square of the binomial, and then simplify. LHS = (sin cos 0)² + 2 cos sin + 2 cos sin e = sin² 0 + X 2² (0) COS Use the trigonometric identity for sin² 0 + cos² 0 and simplify. (sin cos 0)² + 2 cos 0 sin 0 = 1

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 26E
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Prove that the equation is an identity.
(sin 8-cos 0)² + 2 cos 0 sin 0 = 1
Working from the left-hand side, multiply out the square of the binomial, and then simplify.
LHS = (sin cos 0)² + 2 cos
sin
+ 2 cos 0 sin e
=
sin² 0 +
X
2² (0)
COS
Use the trigonometric identity for sin² 0 + cos² 0 and simplify.
(sin - cos 0)² + 2 cos 0 sin 0 = 1
Transcribed Image Text:Prove that the equation is an identity. (sin 8-cos 0)² + 2 cos 0 sin 0 = 1 Working from the left-hand side, multiply out the square of the binomial, and then simplify. LHS = (sin cos 0)² + 2 cos sin + 2 cos 0 sin e = sin² 0 + X 2² (0) COS Use the trigonometric identity for sin² 0 + cos² 0 and simplify. (sin - cos 0)² + 2 cos 0 sin 0 = 1
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