Problem 1. (10pt) Use law of cosines we proved in class to show the following addition formula cos(a – B) = cos a cos B+ sin a sin 3 for 0 < B < a< T. (Hint: 0

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Problem 1. (10pt) Use law of cosines we proved in class to show the following addition formula
cos(a - B) = cos a cos B+ sin a sin B
%3D
for 0 < B < a< T. (Hint: 0 < B < a <n implies 0 < a - B< n, so the graph of a and B on unit
circle would look like,
(cosm.sina)
(casß, sing)
1
Then employ the law of cosines a? = 62 + c2 - 2bc cos A with A = a -B and b =c = 1.)
%3D
Transcribed Image Text:Problem 1. (10pt) Use law of cosines we proved in class to show the following addition formula cos(a - B) = cos a cos B+ sin a sin B %3D for 0 < B < a< T. (Hint: 0 < B < a <n implies 0 < a - B< n, so the graph of a and B on unit circle would look like, (cosm.sina) (casß, sing) 1 Then employ the law of cosines a? = 62 + c2 - 2bc cos A with A = a -B and b =c = 1.) %3D
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