MTH 120 — Summer — 2005
Essex County College — Division of Mathematics
Quiz # 51— Printed May 23, 2005
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Signature:
Show all work clearly and in order, and box your final answers. Justify your answers algebraically
whenever possible. You have 20 minutes to take this 10 point quiz. When you do use your
calculator, sketch all relevant graphs and write down all relevant mathematics.
1. If the sec θ= 7 and 270◦< θ < 360◦, find the following.
Solution: From the information given we can conclude that x= 1, r= 7, and that y < 0.
To find the value of y, solve
72= 12+y2⇒y=±√48 = ±4√3.
So, y=−4√3
(a) sin θ=−4√3
7
(b) cos θ=1
7
(c) tan θ=−4√3
(d) cot θ=−1
4√3
(e) csc θ=−7
4√3
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