Verify the identity.   cotangent x equals StartFraction sine 2 x Over 1 minus cosine 2 x EndFractioncot x=sin2x1−cos2x       Question content area bottom Part 1 Use the appropriate​ double-angle formulas to rewrite the numerator and denominator of the expression on the right. For the denominatordenominator​, use the​ double-angle formula that will produce only one term in the denominatordenominator when it is simplified.   Part 2 StartFraction sine 2 x Over 1 minus cosine 2 x EndFractionsin2x1−cos2x equals= StartFraction nothing Over 1 minus left parenthesis nothing right parenthesis EndFractionenter your response here1−enter your response here     equals= StartFraction nothing Over nothing EndFractionenter your response hereenter your response here Simplify the denominatordenominator. Enter the numeratornumerator found in the previous step. Part 3 The expression from the previous step then simplifies to cotangent xcot x using​ what?     A. Reciprocal Identity   B. ​Even-Odd Identity   C. Pythagorean Identity   D. Quotient Identity

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section: Chapter Questions
Problem 14RE
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Question
Verify the identity.
 
cotangent x equals StartFraction sine 2 x Over 1 minus cosine 2 x EndFractioncot x=sin2x1−cos2x
 
 
 

Question content area bottom

Part 1
Use the appropriate​ double-angle formulas to rewrite the numerator and denominator of the expression on the right. For the
denominatordenominator​,
use the​ double-angle formula that will produce only one term in the
denominatordenominator
when it is simplified.
 
Part 2
StartFraction sine 2 x Over 1 minus cosine 2 x EndFractionsin2x1−cos2x
equals=
StartFraction nothing Over 1 minus left parenthesis nothing right parenthesis EndFractionenter your response here1−enter your response here
 
 
equals=
StartFraction nothing Over nothing EndFractionenter your response hereenter your response here
Simplify the
denominatordenominator.
Enter the
numeratornumerator
found in the previous step.
Part 3
The expression from the previous step then simplifies to
cotangent xcot x
using​ what?
 
 
A.
Reciprocal Identity
 
B.
​Even-Odd Identity
 
C.
Pythagorean Identity
 
D.
Quotient Identity
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