Math 42 Quiz #1
Show all work for full credit.
Name________________________
1. Give one positive angle and one negative angle that is conterminal with −
4
.
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Leave answers in radians and exact (no decimals, no calculators).
2. Using the method of the unit circle, find the 6 trigonometric function values for an
angle of −
5
. Draw a diagram and show everything, including the unit circle,
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reference triangle (with sides and inside angles), point coordinates on unit circle, etc.
Circle your answers. Leave answers as reduced radicals (no decimals).
3. Find the arc length of the circle with radius 11 cm that goes through an angle of
2250. Round your answer to two decimal places. Use S = r (calculator OK)
4. Suppose α and β are acute angles that live inside the following triangle:
Find the following:
(a) csc β
(b) tan α
(c) cot β
(d) sec α
5. Suppose  is an acute angle such that cot  = 5 . Find the values of the
remaining 5 trigonometric functions for  . Circle your answers. Show all work.
Leave answers as reduced radicals (no decimals).