Angles
Circles
Trig Functions
Unit Circle
Law of Sines/Cosines and Area of a Triangle
100
Convert 160° to radians.
(8pi)/9
100
What is the formula for the area of a sector?
A = 1/2thetar^2
100
cotangent is equal to what ratio of sides?
adj/opp
100
How many points are on the unit circle?
16
100
Find x 
x = 16.1 in
200
Are 305° and -55° coterminal angles?
Yes, 305° - 360° = -55°
200
Find the length of the intercepted arc.
17.4 ft
200
Find
cos theta
(2sqrt5)/5
200
The coordinates on an unit circle can be written as ...
(sintheta, costheta)
200
Find x. 
x = 26.7 in
300
Convert to degrees
(-pi)/10
-18°
300
A 16 - inch diamter tire on a car is making 500 revolutions per minute. Find the linear speed of the tire in miles per hour.
23.8 mi/hr
300
Solve for x
x = 17.3
300
What is the exact value of sin 135°
sqrt2/2
300
Find the area of the triangle
233 km2
400
What is the reference angle of
(5pi)/6
pi/6
400
A ceiling fan with 25-inch blades rotates at 40 rpm. Find the linear speed of the tips of the blades in feet per second.
8.7 ft/s
400
A fire started at a campsite located 8 miles from the base of a mountain. If the angle of elevation from the fire to the top of the mountain is 14°, how high is the mountain?
x = 2 miles
400
What is the exact value of cot(-300°)
1/sqrt3 or sqrt3/3
400
Philadelphia, Pennsylvania is 415 miles directly east of Colombus, Ohio. The bearing from Columbus to Richmond, Virginia is S 60° E. The bearing from Philadelphia to Richmond is S 34° W. Find the distance from Columbus to Richmond to the nearest mile.
345 miles
500
What is the reference angle of
(5pi)/3
pi/3
500
An SUV tire with a radius of 12.5 inches rotates at a rate of 545 revolutions per minute. Find the angular speed of the tire in radians per minute.
3424.3 rad/min
500
HeA wire is attached from the top of a post to a point on the ground 24 feet from the base of the post. If the angle of depression from the top of the post to the point where the wire is attached to the ground is 61°, find the length of the wire
49.5 °
500
Find the exact value of
sec(-pi/4)
sqrt2
500
A triangular parking lot has sides measuring 90 meters, 54 meters, and 128 meters. Use Heron's Formula to find the area of the parking lot.
2025.8 m2