PRECALCULUS ADVANCED
WORKSHEET 4.4 B
The terminal side of an angle 9 in standard position passes through the given point. Draw the reference
triangle, and find the exact values of cos 9 and sin 9.
1. P(l2,-9) Z-M-S'
2. g(-8,-15)
3.S(-2V3,2)
LTl^
4. r(3,6)
St^'^.
cos6> =
The given point lies on the terminal side of an angle 6 in standard position. Draw the reference triangle, and
find the exact value of the function.
5. 9 is in Quad. Ill, cos6>= - —. -4:
13
^
Find sin#.
17
Find cos 9.
sin 9= "JT
cos6> = —
>/5
^
7. (9 is in Quad. IV, cos<9= — . ^ -£,
Find sin 0 .
sm9 =
6. # is in Quad. II, sin# =
^~
.£k
n
8. 9 is in Quad. I, sin6> =
Find cos 9.
&
cos 6* =
Tell the quadrant or axis and whether each of the following is positive, negative, or zero.
9. sin — -3.
7
1^
10. cos
TURN->»
lell the quadrant or axis and whether each ol the following is positive, negative, or zero.
C->
16
n
n
13. COS —
12.cos^
14. sin—
2
—
215. COS
7" ~
16. cos*
X
17. sin
19.
37*
12
on
20. cos
33*^
qoV 7ir
--t— ^ —
( -- 20 j - - 2,0
c-o
Let 6* be an angle in standard position. In which quadrant(s) can 6 lie under the given conditions?
21. sin<9<0
23. c o s # > 0
23. sin#=cos6>
24. sin<9<0 and cos6><0
in
^49-
-™
25. Convert 240° to radians. Leave n in your answer.
26. Convert — - to degrees.
6
-^ ^60
27. Find the complement and supplement of each angle,
(a) 75°
C
r.-rr
'
(b)f
"^ 2*
28. Find the length of the arc on a circle of radius 10 cm with a central angle of — radians. Leave TC in
/~z.(,.r>a/v^
your answer.
c,
o"t^~ \
29. Find the radian measure of the central angle in a circle of radius 6 cm with arc length_8.
S*
te^
*
30. Find the area of the sector of a circle of radius 10 cm with a central angle of — radians. Leave TC in
your answer.