Trigonometric Identities Worksheet With Answers Page 19

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47.  OPEN ENDED Write two expressions that are equivalent to
.
SOLUTION:  
13-1 Trigonometric Identities
Sample answer:
 and 
48.  REASONING Explain how you can use division to rewrite
as
.
SOLUTION:  
Divide all of the terms by
.
49.  CHALLENGE Find
 if 
and
.
SOLUTION:  
 
 
Since θ  is in the second quadrant, cot θ  is negative.
Therefore,
.
50.  ERROR ANALYSIS Jordan and Ebony are simplifying
. Is either of them correct? Explain your
reasoning.
 
 
SOLUTION:  
Ebony; Jordan did not use the identity that
and made an error adding rational expressions.
51. Refer to the figure below. If
what is the length of
?
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