Prove the identity. tan²x secx-1 (secx + 1)² secx+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 tan²x (secx + I = Validate 1)² Rule Select Rule ロ・ロ cos J பப ☐cot ☐sec X sin 0 Otan csc 0/6 S
Prove the identity. tan²x secx-1 (secx + 1)² secx+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 tan²x (secx + I = Validate 1)² Rule Select Rule ロ・ロ cos J பப ☐cot ☐sec X sin 0 Otan csc 0/6 S
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:Prove the identity.
tan²x
(secx + 1)²
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
tan²x
(secx + 1)²
secx- 1
secx+1
Validate
Rule
Select Rule
cos
cot
a
X
010
sin
sec
tan
csc
0/0
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
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