Chapter 8 - Mitchell Math

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Problem
Problem
Find the six trigonometric function values for 
Determine the sign of the cosine function in each
quadrant
(-3,4)
r
4
−
−
x −
x +
y +
y +
x −
x +
y −
y −
+
3
+
1
Problem
Given that
Problem
Find the sine, cosine, and tangent function values
for 135.
135 is in the second quadrant and has a
reference angle of 45.
and  is in the fourth
quadrant, find the other function values.
2
r
1
(2,-1)
135
1
45
1
Problem
Problem
Find the angle whose tangent is 1.3 .
Convert 330 to radians.
radians
Find the angle whose cosine is -0.47 .
Convert 120 to radians.
Find the angle whose cotangent is 2.8 .
radians
2
Problem
Convert
radians to degrees.
Convert -2.5 radians to degrees.
Problem
Find the cosine of -0.83 radians.
Find the secant of 1.4 radians.
Problem
Problem
Find the length of an arc of a circle of radius 12 ft
associated with an angle of .
Find  when tan = -0.2126 .
3
Problem
Find the area of a lawn watered by a sprinkler that
reaches out to 65 feet and rotates through an
angle of 115 degrees.
Problem
A printing press has a 21 in diameter cylinder.
The linear speed of a point on the surface of
the cylinder is 18.33 ft/sec. What is the angular
speed of the cylinder?
Problem
The earth has a radius of approximately 4000 mi
and rotates one revolution every 24 hr. What is
the linear speed of a point on the equator?
4
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