Pre-Calculus Final Exam Review #1
Trig
Name
1. Find two co-terminal angles to -495°, one positive and one negative.
2. Convert to either radians or degrees: -135 and
3. Find the reference angles of each: -135 and
4. Find cot  if the sin  =
7
12
7
12
4
.
7
5. Find cos , if  is in standard position and its terminal side passes through the point (-3,3).
6. Find the exact value of cos
5
-3
-7
5
, sin
, csc , tan
, sec 0, and cot
.
3
4
6
2
 3
.
7. Find arcsin 

2


8. Write an algebraic expression for sec(arcsin x)
9. From a point on a cliff 75 feet above water level, an observer can see a ship. The angle of
depression to the ship is 4. How far is the ship from the base of the cliff?
cot2x
10. Simplify
so it is not in fractional form.
csc2x - csc x
11. Verify:
cos x
= sec x
1 - sin2x
12. Find all the solutions on [0, 2): tan2 csc  = tan2
13. Find all solutions: 3tan2(2x) – 1 = 0
14. Simplify:
tan 7x + tan 5x
1 - tan 7x tan 5x
15. Given cos x =
2
3
 x
and
< x < 2, find cos   .
3
2
2
16. Given a triangle with C = 72, A = 15, and b = 342.6, find a.
17. Given a triangle with a = 83, b = 98, and A = 110, find C.
18. Given a triangle with a = 17, b = 39, and c = 50, find A.
19. Find the area of the triangle with side lengths of 1507, 1750, and 970 feet.