Pre-Calculus
Unit 8 Review-Calculator allowed
Name:
I 2 ' 2 J
(0, -1)
Give the exact value for the following questions
1. cos (90°)=
2.
->
n
3. cos —
4. sin 45° =
5. cos
6. sin
,
.
_,
7? =
For 7 <& 8:
a)
Draw 9 showing rotation.
I
b)
Draw in the reference angle and label it c/ .
c)
State its reference angle. If given in degrees then the reference angle should be given
in degrees, if given in radians then the reference angle should be in radians.
7.0- -132
Reference angle -
Reference angle =
For 9 <& 10:
a)
Draw each given angle (showing rotation).
b)
Find the requested co-terminal angles, (abbreviated c.t.) (You only need to draw the ONE
given angle.) If given in degrees then the reference angle should be given in degrees, if
given in radians then the reference angle should be in radians.
9. 0 = 275
10. 0 =
One Positive c.t. _f/j£
One Positive c.t. _
One Negative c.t.
One Negative c.t.
4
11. Find x in the following 45-45-90 triangle.
Exact answer in simplified form.
60
12. Find x in the 30-60-90 triangle
Exact answer in simplified form.
x
30(
x=
13. Convert 80° to radians.
14. Convert ——R to degrees.
12
15. If sin£ = — and cos£<0, find tan0
13
-300
16. Given that the reference angle of 9 is 51° and located in quadrant II, find the measure of
9 (the given angle).
Given angle, 0 17. Find the reference angle for <9 = 3 10°
18. Find a positive co-terminal angle to 9 =
R.
M
19. Determine the quadrant in which 9 lies: sin 6> > 0 and cos9 < 0
20. In the triangle shown at the right, find cot<9.
. jd_
r
SET MODE TO DEGREES FOR PROBLEMS INVOLVING TRI6 FUNCTIONS!!!
21. Find the missing sides.
24
t> „
46°
22. A given circle has a radius of 4 inches. Find the length of the arc and arc area for the
sector with a central angle of 135°. Use correct units with answer.
Arc length:
Arc area:
.tf" ?„
23. You need to be able to identify even and odd trig. Functions.
fvXf-A ' CoV^ } Stc&^-\D ', 5«V* ,
24. You need to know the definition of a reference angle.
Co -fti^
25. Given that sin(t) = — in Quadrant 1 , fill in the table for the rest of the trig function values: (10 pts)
Cos (t)
Csc (t)
^r
°\n (t)
£Tn
f-r
(\
Sec (t)
<?Jr7
~7T
Cot (t)
rpj?
26. Find the six trig. Functions if (6, -10) is on the circle and on the terminal side of 9.
.k.
27. From the top of a lighthouse 160 feet above sea level, the angle of depression to a boat at sea is 25 degree.
What is the horizontal distance from the boat to the base of the lighthouse?
A^7J*~
28. Tyler is flying a kite on 1700 feet of string. How high is it above the ground if the horizontal distance
between Tyler and the kite is 800 feet?