Download Unit 6a Review

Unit 6a Review
1. In the diagram of right triangle JTM,
What is the value of
1)
,
, and
.
?
2) 2
3)
4)
2. If
1)
2)
3)
4)
and
, in which quadrant does the terminal side of
lie?
I
II
III
IV
3. If the terminal side of angle
passes through point
, what is the value of
?
1)
2)
3)
4)
4. (9 points) Fill in the following chart with exact values for each trigonometric function:

sin 
cos
tan 
30°
45°
60°
5. Solve for . Round to the nearest degree. tan =6
6. Simplify the following expression: tan(30°)+ cos(30)-sin(30).
1
7. If  is an acute angle and cot   , find the values of the other five trigonometric functions.
3
8. Express sin(312°) as a function of a positive acute angle.
9. Express cos(312°) as a function of a positive acute angle.
10. Draw an angle of -550° in standard position.
11. Find the smallest positive angle coterminal with 910°.
12.  is an angle in standard position that passes through the point (-3,-6).
a. (2 points) Find the value of cot  .
b. (2 points) Find the value of cos  .
13. If
1)
2)
3)
4)
and
, then
terminates in Quadrant
I
II
III
IV
14. Find the value of cscA and tanA.
A
4
C
CC
15. Solve for . Round to the nearest degree. sin =
15
6
B
7
16. Which expression is equivalent to
1)
2)
3)
4)
?
17. Simplify the following expression: tan(30°)+ cos(30)-sin(30).
18. (4 points) Find the reference angle for 250°. Sketch the original angle in standard position. Lable the
reference angle in your sketch.
19. Find the exact value of cot(60°). Show your work.