Answer: (a) IV (b) negative (c) (d) A (e)
<u>Step-by-step explanation:</u>
a) +
=
+
=
which is located in Quadrant IV <em>on the Unit Circle</em>
b) tan is . In Quadrant IV, sin is negative and cos is positive so their quotient is negative.
c) the reference angle is the angle from to 2π which is
.
d) Since Quadrant IV is below the x-axis, then another angle would be negative of the reference angle = -tan
e) tan is . tan
=
÷
=
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Answer: C
<u>Step-by-step explanation:</u>
has a reference angle of
. All of the angles on the Unit Circle that have a reference angle of
are:
,
, and
.
option A is included above. option B reduces to , which is included above. option D reduces to
, which is included above. option C is not included in the family of angles given above.