Math 141/142 PRINT YOUR NAME:
Fall 1999
Trigonometry Final Exam SIGN YOUR NAME:
SECTION #:
For problems 1-12, write your answer in the blank provided. Include units if appropriate. For
multiple choice problems, write the letter corresponding to your answer. No partial credit will be
awarded for these problems. Each problem is worth 5 points.
1. If sin x=√3
2and cot x<0, find the exact value of tan(x). 1.
2. Find the radian measure of a central angle θopposite an arc s= 27 meters
in a circle of radius r= 18 meters.
2.
3. Given that a= 22, b= 35, and c= 27, find the measure of angle αto the
nearest degree.
3.
a
c
b
α
β
γ
4. At a certain time of day, the Washington Monument casts a shadow 790
feet long. From the tip of the shadow, the angle from the horizontal to
the top of the monument is 35◦. Use this information to find the height
of the monument to the nearest foot.
4.
5. The function y= 3 sin(4x) + 2cos(6x)is
(a) a periodic function of period π
3.
(b) a periodic function of period π
2.
(c) a periodic function of period π.
(d) a periodic function of period 2π.
(e) not a periodic function. 5.
6. Suppose sec x=−5
3with π<x< 3π
2. Find the exact value of sin(x
2).
You do not have to simplify your answer.
6.
7. tan x(csc xcos x−sin xcos x)=
(a) sin2x(b) cos2x(c) tan2x
(d) cot2x(e) sec2x(f) csc2x7.
