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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