Math 176
Practice Exam Ch 5 & 6 No Calculator allowed problems
1. (3) The point P(x,y) is on the unit circle in quadrant II. If y

5
, find x .
3 x =
2. (6) Find the values of the listed trig functions for an angle in standard position having the following point on its terminal side. a. (-4,-1) sin cos tan
Evaluate the following expressions with exact values.
3) (4 pts) 2sin150
 
Evaluate the following:
6. (3) 2 cot 45
 
6sin 210
 
2 cos 300

7. (3) 2sin
2
2

3

2 cos
2
2

3
3cos180

Answer:
Answer:

8. Find the exact function value of the following. (Exact means no decimals) a. tan

4
= b.

2
  cos

3

=
9. Find all the trig function values for each angle. cos t
 
3/ 5 , with tan
Calculator Allowed problems t

0 c. sin 


6
 =
1. (4) Given the formula s
 r

for arc length. A circular arc of length 100 ft subtends a central angle of unknown quantity. The radius of the circle is 15 ft. What is the measurement of the angle in radian and degree measure?
2. (8) Convert the following into either radian measure or degree measure. For radian measure you
MUST leave answer as a multiple of

. a. 390 c.
14

3
4. (8) Draw a sketch and then solve each of the following right triangles. Give angles to the nearest degree. Solve means to find all 3 angles and all 3 sides . i) B=28

b = 69 ft

5. (6) A 20-ft ladder is leaning against a building. The angle of elevation from the ground to the top of the building is 72 degrees. Find the distance from the foot of the ladder to the BASE of the building.
7. (6) Solve the following equation. Assume that all angles are acute angles.
(Hint: think of a cofunction identity) sin
 x
   x

8. (5) Find two angles in the interval

0
0 , 360
0

that satisfy each of the following. Leave your answer in decimal degrees. tan
 
0.70020754