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Trigonometry Question

Trigonometry Question

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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Step 1

Given that, cos(s)=-22 in the interval [0,2π).

cos(s)=-22cos(s)=-12cos(s)=-cosπ4cos(s)=cosπ-π4    or  cos(s)=cosπ+π4

Take the condition,cos(s)=cosπ-π4 and solving gives,

cos(s)=cos3π4s=3π4

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