Prove the following identities: tan(v) + cot(v) (a) sec(v) csc(v) 1- sin(0) (b) cos(0) 1 SE cos(8) 1+ sin(0) cos (0) – sin?(0) (c) 1- tan? (0) - = cos (0) = COS (2 cos (0) – 1)? (d) cos (0) – sin (0) = 1 – 2 sin? (0)

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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3. Prove the following identities:
tan(v) + cot(v)
(a)
sec(v) csc(v)
1– sin(0)
(b)
= 1
cos(0)
1+ sin(0)
cos (0)
cos (0) – sin? (0)
(c)
1
= cos (0)
tan (0)
-
(2 сos? (0) — 1)?
(d)
cos (0) – sin“(0)
= 1 – 2 sin? (0)
Transcribed Image Text:3. Prove the following identities: tan(v) + cot(v) (a) sec(v) csc(v) 1– sin(0) (b) = 1 cos(0) 1+ sin(0) cos (0) cos (0) – sin? (0) (c) 1 = cos (0) tan (0) - (2 сos? (0) — 1)? (d) cos (0) – sin“(0) = 1 – 2 sin? (0)
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