Consider the following. cos(x + y) cos(x - y) = cos(x) - sin²(y) Prove the identity. - sin(x) sin(y)] cos(x - y) = [cos(x) cos(y) - sin(x) sin(y)] [cos(x) cos(y) + cos(x + y) cos(x - y) = = cos²(x) [1 - = = cos²(x). = cos² (x) - cos²(x) - sin²(y) cos²(x) - sin²(y) -sin²(x) [ + cos(x) cos(y) sin(x) sin(y) - cos(x) cos(y) sin(x) sin(y) - sin²(x) sin²(y) - sin²(x) sin²(y) . sin²(y) - sin²(x) sin²(y) | + sincey 11
Consider the following. cos(x + y) cos(x - y) = cos(x) - sin²(y) Prove the identity. - sin(x) sin(y)] cos(x - y) = [cos(x) cos(y) - sin(x) sin(y)] [cos(x) cos(y) + cos(x + y) cos(x - y) = = cos²(x) [1 - = = cos²(x). = cos² (x) - cos²(x) - sin²(y) cos²(x) - sin²(y) -sin²(x) [ + cos(x) cos(y) sin(x) sin(y) - cos(x) cos(y) sin(x) sin(y) - sin²(x) sin²(y) - sin²(x) sin²(y) . sin²(y) - sin²(x) sin²(y) | + sincey 11
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°.
Related questions
Question
![Consider the following.
cos(x + y) cos(x - y) = cos²(x) - sin²(y)
Prove the identity.
- sin(x) sin(y)] cos(x - y)
= [cos(x) cos(x) = sin(x) sin(y)][cos(x) cos(y) +
cos(x + y) cos(x - y) =
= cos²(x).
= cos²(x) [1
=
=
=
cos² (x) -
cos²(x) - sin²(y)
cos²(x) = sin²(y) [
+ cos(x) cos(y) sin(x) sin(y) - cos(x) cos(y) sin(x) sin(y) - sin²(x) sin²(y)
-sin²(x) sin²(y)
sin²(y) - sin²(x) sin²(y)
+
+ sin²(x)]
[]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8e308213-df48-4360-8e9d-bfd0a573e9aa%2F14027364-acdb-4608-9ce6-ba28e644ca89%2F17zc2cm_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following.
cos(x + y) cos(x - y) = cos²(x) - sin²(y)
Prove the identity.
- sin(x) sin(y)] cos(x - y)
= [cos(x) cos(x) = sin(x) sin(y)][cos(x) cos(y) +
cos(x + y) cos(x - y) =
= cos²(x).
= cos²(x) [1
=
=
=
cos² (x) -
cos²(x) - sin²(y)
cos²(x) = sin²(y) [
+ cos(x) cos(y) sin(x) sin(y) - cos(x) cos(y) sin(x) sin(y) - sin²(x) sin²(y)
-sin²(x) sin²(y)
sin²(y) - sin²(x) sin²(y)
+
+ sin²(x)]
[]
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