Explanation Page ? QUESTION Prove the identity. (cscx-1)²cscx-1 cot²x 00 EXPLANATION 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 (cscx-1)² (cscx + 1) (cscx-1) More Practice 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
Explanation Page ? QUESTION Prove the identity. (cscx-1)²cscx-1 cot²x 00 EXPLANATION 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 (cscx-1)² (cscx + 1) (cscx-1) More Practice 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
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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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
Transcribed Image Text:Prove the identity.
sin²x
1+cosx
(1-cosx)² 1-cos.x
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
sin²x
(1 - cosx)2
Validate
Rule
Select Rule
ロ・ロ
cos
cot
π
60 3
sin
☐sec
10
0/0
Español
?
Aa
1
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