prove the following identities: cos² (y) - sin² (y) 1 - tan² (y) = cos² (y).

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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prove the following identities:
cos² (y) - sin² (y)
1 - tan² (y)
• (sec(0) - cos(0)) (1 + cos² (0)) = sin² (0) (sec(0) + cos(0)).
In(tan(x)) = ln(sin(x)) - In(cos(x)).
(sin(t) + cos(t))² = 1 + sin(2t).
=
cos² (y).
Transcribed Image Text:prove the following identities: cos² (y) - sin² (y) 1 - tan² (y) • (sec(0) - cos(0)) (1 + cos² (0)) = sin² (0) (sec(0) + cos(0)). In(tan(x)) = ln(sin(x)) - In(cos(x)). (sin(t) + cos(t))² = 1 + sin(2t). = cos² (y).
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