Download t =16 3 . 4 4 3 3 3 sin 8 cos 8 sin 8 = 1, cos 8 = 1 sin 8 = 1, cos8 = 0

Name: __________________
Class:
16 .
3
1 Find the reference number for t =
a.
4
3
b.
4
c. Date: _____________
d.
3
3
2 Use the figure to find the terminal point determined by the real number t = 4, with coordinates correct to one decimal place.
a. (0.8, b. ( 0.7)
0.8, 0.7)
d. ( c. (0.7, 0.8)
3 Find the exact values of the trigonometric functions sin 8
a. sin 8
= 1, cos 8
= 1
b. sin 8
13 4
= 1, tan 11 4
b. tan
13 4
=
= 3
, tan 11 2
4
= b. sin t =
3
, cos t = 1 , tan t =
2
2
3
1
2
a. odd
PAGE 1
b. even
and tan
13 4
c. neither
=
c. sin 8
= 0, cos 8
11 .
4
2
, tan 11 2
4
= 2
2
. Find sin t, cos t, and tan t.
c. sin t =
1 , tan t = 3
2
1
6 Determine whether the function 3x cos x
= 0
3
2
3
2
3 , cos t =
2
13 4
c. tan
1,
2
5 The terminal point determined by t is
a. sin t =
1
0.8)
and cos 8
= 1, cos 8
4 Find the exact values of the trigonometric functions tan
a. tan
0.7, is even, odd, or neither.
1
, cos t = 3 , tan t =
2
2
3
1
= 1
Name: __________________
Class:
7 Graph the function y = 2 + sin x.
a.
c.
b.
d.
8 What is the amplitude of the function y = 3 sin 5 x?
a. 1
c. b. 3
5
d. 5
9 What is the period of the function y = 5 cos 7 x ?
a. 5
PAGE 2
b.
7
c.
2
7
d. 7
e. 7
Date: _____________
Name: __________________
Class:
Date: _____________
10 Graph the following three functions on a common screen:
y = 2 x,
y= 2 x,
y = 2 x cos 3 x.
a.
c.
b.
d.
11 Find the degree measure of the angle:
a. PAGE 3
o
720
b. o
630
c. 7
2
o
540
rad.
d. o
450
Name: __________________
12 Find sin and cos Class:
Date: _____________
if x = 3, and y = 1.
a. sin =
3 , cos 10
=
3
10
b. sin =
1 , cos 10
=
1
10
c. sin 1 , cos 10
=
=
3
10
13 From a satellite 650 mi above the earth, it is observed that the angle formed by the vertical and the line of sight to the horizon is
60.276
o
. Use this information to find the radius of the earth.
a. 4290 mi
b. 3640 mi
c. 650 mi
14 Find x correct to one decimal place.
y = 110
a. 254
b. 63.5
c. 190.5
15 Choose the value of the trigonometric function cos a. PAGE 4
21
5
b.
21
5
c. No correct answer
using the information: sin =
2, 5
in quadrant I.
Name: __________________
Class:
16 Use the Law of Sines to find x. Let c = 29, a. 31
b. 30
c. 32
Date: _____________
o
A = 57 .
d. 60
17 A boy is flying two kites at the same time. He has 390 ft of line out to one kite and 350 ft to the other. He estimates the angle
o
between the two lines to be 37 . Approximate the distance between the kites.
a. 332.99 ft
b. 237.85 ft
c. 285.42 ft
d. 309.20 ft
18 Simplify the following trigonometric expression:
tan x cot x
tan x
a. 1
PAGE 5
b. cos x
c. cot x
d. tan x
ANSWER KEY
Name: __________________
1.
2.
3.
d
d
c
PAGE 1
4.
5.
6.
a
a
b
Class:
7.
8.
9.
b
b
c
Date: _____________
10. b
11. b
12. b
13. a
14. a
15. b
16. b
17. b
18. c