(sec'x- 1) cse cscx = tan x cscx Rule ? sin x cscx 2 Rule ? cos x 2. sin x 1 Rule ? %3D cos x sinx sinx 1 Rule ? cosx cosx 1 = tanx Rule ? Cosx = tanx secx Rule ? Rule Algebra Reciprocal Quotient Pythagorean Odd/Even (? II

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.1: Verifying Trigonometric Identities
Problem 67E
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choose rule for each identity 

O TRIGONOMETRIC IDENTITIES AND EQUATIONS
Verifying a trigonometric identity
(sec'x - 1) cscx
= tan x CSCX
Rule ?
sin x
Rule ?
%3D
CScx
cos X
sin x
Rule ?
%3D
sinx
cos x
sinx
1
Rule ?
CoSx
Cosx
= tanx
Rule ?
Cosx
tanx secx
Rule ?
%3D
Rule
Algebra
Reciprocal
Quotient
Pythagorean
Odd/Even
Transcribed Image Text:O TRIGONOMETRIC IDENTITIES AND EQUATIONS Verifying a trigonometric identity (sec'x - 1) cscx = tan x CSCX Rule ? sin x Rule ? %3D CScx cos X sin x Rule ? %3D sinx cos x sinx 1 Rule ? CoSx Cosx = tanx Rule ? Cosx tanx secx Rule ? %3D Rule Algebra Reciprocal Quotient Pythagorean Odd/Even
O TRIGONOMETRIC IDENTITIES AND EQUATIONS
Verifying a trigonometric identity
Comple V proof of the identity by choosing the Rule that justifies each step.
(sec?x-1) cscx= tanx secx
2
To see a detailed description of a Rule, select the More Information Button to the right of the Rule.
Rule
Statement
(sec'x - 1) cs
CSCX
Rule ?
= tan x CScx
sin x
Rule ?
%3D
CScx
cos X
2
sin x
1
Rule ?
%3D
sinx
cos x
sinx
1
Rule ?
%3D
cosx
cosx
()
1
= tanx
Rule ?
Cosx
= tanx secx
Rule ?
Explanation
Check
II
Transcribed Image Text:O TRIGONOMETRIC IDENTITIES AND EQUATIONS Verifying a trigonometric identity Comple V proof of the identity by choosing the Rule that justifies each step. (sec?x-1) cscx= tanx secx 2 To see a detailed description of a Rule, select the More Information Button to the right of the Rule. Rule Statement (sec'x - 1) cs CSCX Rule ? = tan x CScx sin x Rule ? %3D CScx cos X 2 sin x 1 Rule ? %3D sinx cos x sinx 1 Rule ? %3D cosx cosx () 1 = tanx Rule ? Cosx = tanx secx Rule ? Explanation Check II
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