Radians and Degrees
DMS, Arc Length and Area of a Sector
Linear and Angular Velocity and all mixed up
Right triangle Trig
Special Triangles and Unit circle
100
Draw the angle in standard position: -370°
100
Convert to DMS: 140.2825°
140°16'57"
100
A 20 in diameter tire on a car makes 9.3 revolutions per second. Find the velocity of the tire (mph) to the nearest whole number
33 miles per hour
100
Find the measure of the angle indicated. Round to the nearest whole degree.
27°
100
Find the exact value of cot (7pi)/4
-1
200
Draw the angle in standard position:
(29pi)/12
200
Convert to decimal degrees: 135° 37' 3"
135.6175°
200
Find the linear velocity in meters per second of an object if it took 2 hours to travel a distance of 30 kilometers. Round to the nearest whole number.
4 meters per second
200
Find the measure of the missing side. Round to the nearest tenth.
7.3
200
Find the exact value: csc 300°
-(2sqrt3)/3
300
Convert to radians: -690°
-(23pi)/6
300
Find the length of the arc:
(35pi)/6 "
300
The second hand of a clock is 10.2 cm long. Find the linear speed in cm per minute of the end of this second hand. (round to nearest whole number)
64 cm per minute
300
Determine the ratio of the cosine of the angle.
5/13
300
Find the exact value of: cos (2pi)/3
-1/2
400
Find a positive and negative coterminal angle for
-(8pi)/3
(4pi)/3 and -(2)/3pi
400
Find the area of the sector
(75pi)/4 mi^2
400
Find the distance between the cities. Assume that the Earth is a sphere of radius 3960 miles and the cities are on the same longitude (one city is due north of the other). Round to the nearest whole mile.
Johannesburg, South Africa 26°
Jerusalem, Israel 31°
346 miles
400
Find the cotangent if b = 3 and a =
3sqrt15
sqrt15/15
400
Find the value of x and y:
x = 3;
y=(3sqrt2)/2
500
Determine the reference angle:
-(17pi)/6
pi/6
500
Ashley has a spinkler that has several varieties of coverage. The quarter-circle sprinkler head sprays water a distance of up to 20 feet from the head. What area will be coveed by the spray (to the nearest foot)
314
500
Find the radius of a circle if an arc length of 6 m is formed by an angle of pi/6 radians. (round to the nearest tenth)
11.5 m
500
A straight waterslide is 175 feet above the ground and is 200 feet long. What is the angle of depression to the bottom of the slide? (round to nearest whole angle)
61°
500
Determine the value of x and y:
x=4sqrt5 ; y = 4sqrt15