Answers: a = III, b=positive, c= π/6, d=C, e=√3
a)
which is located in Quadrant III.
b) cos is negative and sin is negative so cot (cos/sin) is positive.
c)

d) cot(π/6)
e) cot =
=

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Answers: BC =
, AC =
,
30°-60°-90° triangle has corresponding sides of: b - b√3 - 2b
AB = b√3
AB = √51
⇒ b√3 = √51
⇒ b = √17
BC = b
⇒ BC = √17
AC = 2b
⇒ AC = 2√17