Complete the proof of the identity by choosing the Rule that justifies each step. (sec²x-1) csc²x = sec²x To see a detailed description of a Rule, select the More Information Button to the right of the Rule.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.1: Verifying Trigonometric Identities
Problem 70E
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What is the rule for each one?

Complete the proof of the identity by choosing the Rule that justifies each step.
(sec²x-1) csc²x = sec²x
To see a detailed description of a Rule, select the More Information Button to the right of the Rule.
Statement
(sec²x - 1) csc²x
= tan²x csc²x
-
=
2
sin x
COS X
sin x
COS X
1
cos²x
= sec x
2
CSC X
:) (₁
sin x
X
Rule
Rule?
Rule ?
Rule?
Rule?
Rule ?
Rule
Algebra
Reciprocal
Quotient
Pythagorean
Odd/Even
X
?
?
(@.
?
Transcribed Image Text:Complete the proof of the identity by choosing the Rule that justifies each step. (sec²x-1) csc²x = sec²x To see a detailed description of a Rule, select the More Information Button to the right of the Rule. Statement (sec²x - 1) csc²x = tan²x csc²x - = 2 sin x COS X sin x COS X 1 cos²x = sec x 2 CSC X :) (₁ sin x X Rule Rule? Rule ? Rule? Rule? Rule ? Rule Algebra Reciprocal Quotient Pythagorean Odd/Even X ? ? (@. ?
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