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If: a cos(0)+bsin (0) = R cos(0-3) where a = 8 and b = 11 Find the angle B. Give your answer in degrees to two decimal places.

If: a cos(0)+bsin (0) = R cos(0-3) where a = 8 and b = 11 Find the angle B. Give your answer in degrees to two decimal places.

Trigonometry (11th Edition)
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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If: a cos(0)+bsin (0) = R cos(0-B) where a = 8 and b = 11 Find the angle B. Give your answer in degrees to two decimal places.
Transcribed Image Text:If: a cos(0)+bsin (0) = R cos(0-B) where a = 8 and b = 11 Find the angle B. Give your answer in degrees to two decimal places.
Expert Solution
Step 1

Given:

     acosθ+bsinθ=Rcosθ-β

where a=8  and b=11

 We know that 

           R=a2+b2

          tanβ=ba

                   

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