Download Trigonometry Test 7 Solve. Draw the diagram and show the work. (4

Trigonometry Test 7
Solve. Draw the diagram and show the work. (4 pts.)
1 -2) The airline distance from Philadelphia to Syracuse is 260 miles on a bearing
335. The distance from Philadelphia to Cincinnati is 510 miles on a bearing of
245. Find the distance from Cincinnati to Syracuse.
Convert from degrees to radians and simplify.
Convert from radians to degrees.
3) 400°
4)
3a)
225°
8
3
4a)
9
5
s = r θ, s is arc length.
5) The radius is 6.4 m. The angle is
2
radians.
3
6) The radius of the earth is 6400 km. Los Angeles, CA is 34 N and Santiago, Chile
is 33 S. Find the distance between the two cities.
Area of a sector =
1
(θ)r2
2
7) r = 46 m, the angle is
5
radians
6
8) r = 24 ft and the angle is 80°.
Use your calculator to find each.
Find the value of s, where 0 < s < 1.5708
9) sin 0.6749
10) tan s = 0.8814
9a) cot 1.5272
Use the angular velocity formula w =
11) w =
9
rad/sec, t = 2 sec
14
10a) sec s = 1.4893

. Find the variable.
t
12) θ =
2
4
rad., w =
radians per sec.,
9
27
Use the linear velocity formula v = rw. Find the variable.
13)
v = 36π rad., w =
3
rad., r = _____
4
Use the formula s = rwt. Find the variable missing.
14) r = 2 km, s = 4π km, w =
GRAPH ( 3 pts.)

6
rad per sec.
15) r = 9 yd, w =
( 4 pts.)
16) y = -2 sin x
18) y = 2 + 3 cos 2x
Graph. (3 pts.)
(4 pts.)
19) y = -2 sec 3x
22)
y = -1 + csc
1
x
4
Graph ( 3 pts. each)
23) y = 3 + tan
2
x
3
25) y = -1 + 2 cot 3x
2
rps, t = 12 sec
3