4. Shown below is a diagram showing an original triangle (pink) and its rotation about one vertex through an angle of radians. -sin 0 sin 0+ 1 = cos 0 cos(0 + 7) = Using the diagram, explain these formulas cos 0 -sin 0 R 10+- 1 cos 0 sin 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.5: Product-to-sum And Sum-to-product Formulas
Problem 37E
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4. Shown below is a diagram showing an original triangle (pink) and its rotation about one vertex through an angle of radians.
-sin 0
1
= cos 0
cos 0
cos (0 + 7) = -
7) = -sin 0
KIO
0+-
Using the diagram, explain these formulas
sin (6 + 7) = co
-
2
0
1
cos 0
sin 0
(1)
Not al (b
Transcribed Image Text:4. Shown below is a diagram showing an original triangle (pink) and its rotation about one vertex through an angle of radians. -sin 0 1 = cos 0 cos 0 cos (0 + 7) = - 7) = -sin 0 KIO 0+- Using the diagram, explain these formulas sin (6 + 7) = co - 2 0 1 cos 0 sin 0 (1) Not al (b
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