3. Is the function f(x) = csc2 + sec x- cosr even, odd, or neither? Show algebraically. %3D 4. Write down all the quotient and reciprocal trigonometric identities.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section: Chapter Questions
Problem 5DE
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How can we do questions 3 and 4 ?
Recall a function is even if f(-x) = f(x) and is odd if f(-x) = -f(x), for all r
1. Which of six trigonometric functions are even functions?
cos(-o) = cos (@), Sec(-@)-sec(@)
2. Which of six trigonometric functions are odd functions?
Sin(-Q) - Sin (o), Csc (Q)=-Csc ☺, tan(-@ b
%3D
-C아 (9
Sin Q
3. Is the function f(x) = csc² + sec x- cosx even, odd, or neither? Show algebraically.
4. Write down all the quotient and reciprocal trigonometric identities.
Transcribed Image Text:Recall a function is even if f(-x) = f(x) and is odd if f(-x) = -f(x), for all r 1. Which of six trigonometric functions are even functions? cos(-o) = cos (@), Sec(-@)-sec(@) 2. Which of six trigonometric functions are odd functions? Sin(-Q) - Sin (o), Csc (Q)=-Csc ☺, tan(-@ b %3D -C아 (9 Sin Q 3. Is the function f(x) = csc² + sec x- cosx even, odd, or neither? Show algebraically. 4. Write down all the quotient and reciprocal trigonometric identities.
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