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und tre e given t Coslutl

und tre e given t Coslutl

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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The image contains handwritten notes, which state the following problem: "Find the exact value of trigonometric expression given that sin(u) = -3/5 and cos(v) = -12/13." The problem asks to find the exact value of the expressions cos(u+v) and cos(u-v) based on the given sine and cosine values. To solve this, you would typically use the angle addition and subtraction formulas for cosine: - **cos(u+v) = cos(u)cos(v) - sin(u)sin(v)** - **cos(u-v) = cos(u)cos(v) + sin(u)sin(v)** Given: **sin(u) = -3/5** and **cos(v) = -12/13**, calculate the missing trigonometric values using the Pythagorean identity for sine and cosine to solve these expressions.
Transcribed Image Text:The image contains handwritten notes, which state the following problem: "Find the exact value of trigonometric expression given that sin(u) = -3/5 and cos(v) = -12/13." The problem asks to find the exact value of the expressions cos(u+v) and cos(u-v) based on the given sine and cosine values. To solve this, you would typically use the angle addition and subtraction formulas for cosine: - **cos(u+v) = cos(u)cos(v) - sin(u)sin(v)** - **cos(u-v) = cos(u)cos(v) + sin(u)sin(v)** Given: **sin(u) = -3/5** and **cos(v) = -12/13**, calculate the missing trigonometric values using the Pythagorean identity for sine and cosine to solve these expressions.
Expert Solution
Step 1

To find the exact value of cos(u+v)=cos u cos v -sin u sin v

and we are given that

 sin u =-35 ; cos v=-12 13

sin u=perpendicularhypotenuseso we get base=hypotenuse2-perpendicular2base=4then cos u=basehypotenuse=45 

 

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