Prove the identity. cot²x cscx+1 =cscx-1 Note that each Statement must be based on a Rule chosen from the Rule menu. To see a detailed description of a Rule, select the More Information Button to the right of the Rule. Statement cot²x cscx + 1 Validate Rule Select Rule ロ・ロ cos cot B X 00 sin sec csc 0/0 Español ? مه ||

College Algebra
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ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section1.5: Complex Numbers
Problem 87E: The opposition to current in an electrical circuit is called its impedance. The impedance z in a...
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? QUESTION
Prove the identity.
(cscx-1)²cscx-1
=
00 EXPLANATION
cot²x
We'll start with the left side.
We'll transform it step by step until it is identical to the right side.
(csex-1)² (cscx-1)²
cot²x
csc²x-1
EANSWER
=
=
=
Here is one possible answer.
Statement
=
=
(cscx-1)²
cotx
cscx+1
(cscx - 1)²
csc²x - 1
CSC 1
cscx+1
More Practice
(cscx-1)²
(cscx+1)(cscx-1)
cscx-1
cscx+1
(cscx-1)²
(cscx + 1) (cscx - 1)
Pythagorean identity: cot²x=csc²x-1
Algebra: Difference of squares
Algebra: Cancel common factor(s)
Rule
Pythagorean
Algebra
Algebra
Español
Transcribed Image Text:? QUESTION Prove the identity. (cscx-1)²cscx-1 = 00 EXPLANATION cot²x We'll start with the left side. We'll transform it step by step until it is identical to the right side. (csex-1)² (cscx-1)² cot²x csc²x-1 EANSWER = = = Here is one possible answer. Statement = = (cscx-1)² cotx cscx+1 (cscx - 1)² csc²x - 1 CSC 1 cscx+1 More Practice (cscx-1)² (cscx+1)(cscx-1) cscx-1 cscx+1 (cscx-1)² (cscx + 1) (cscx - 1) Pythagorean identity: cot²x=csc²x-1 Algebra: Difference of squares Algebra: Cancel common factor(s) Rule Pythagorean Algebra Algebra Español
Prove the identity.
cot²x
cscx+1
=cscx-1
Note that each Statement must be based on a Rule chosen from the Rule menu. To see a detailed description of a Rule, select the More Information Button to
the right of the Rule.
=
Statement
cot²x
cscx + 1
Validate
Rule
Select Rule
ロ・ロ
cos
cot
♫
X
00
sin
☐sec
tan
csc
Español
?
Aa
1
Transcribed Image Text:Prove the identity. cot²x cscx+1 =cscx-1 Note that each Statement must be based on a Rule chosen from the Rule menu. To see a detailed description of a Rule, select the More Information Button to the right of the Rule. = Statement cot²x cscx + 1 Validate Rule Select Rule ロ・ロ cos cot ♫ X 00 sin ☐sec tan csc Español ? Aa 1
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