Prove cos² (x) + sin(x) cos(x) tan(x) = 1 Write everything in terms of sin(x) and cos (x) Cancel what you can in the multiplication part Simplify the multiplication part Using the Pythagorean identity, replace what's left = 1 = 1 = 1 = 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 70E
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Trig Proof (Fill in the blank)

Prove cos² (x) + sin(x) cos(x) tan(x) = 1
Write everything in terms
of sin(x) and cos (x)
Cancel what you can in the
multiplication part
Simplify the multiplication
part
Using the Pythagorean
identity, replace what's left
= 1
= 1
= 1
= 1
Transcribed Image Text:Prove cos² (x) + sin(x) cos(x) tan(x) = 1 Write everything in terms of sin(x) and cos (x) Cancel what you can in the multiplication part Simplify the multiplication part Using the Pythagorean identity, replace what's left = 1 = 1 = 1 = 1
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