The Unit Circle
Radians
Cosine and Sine
More Trig Functions
Right Triangles
100
Endpoint of the radius that makes 225 deg with positive horizontal axis
What is (-sqrt2/2, -sqrt 2/2)?
100
40 deg to radians
What is 2pi/9?
100
Exact value for cos 5pi
What is -1?
100
x is in 1st quadrant. Given tan x = 4, find cot x
What is 1/4?
100
Suppose a = 2 and b = 5, evaluate cos u
What is 2sqrt29/29?
200
Angle that of the radius ending at (1/2, -sqrt3/2)
What is 300 deg?
200
pi/9 radians to degrees
What is 20 deg?
200
Exact value for sin -3pi/2
What is 1?
200
Four smallest positive numbers x such that tan x = 1
What is pi/4, 5pi/4, 9pi/4, 13pi/4?
200
Suppose a=3 and u=14 deg. Evaluate b.
What is .748?
300
All numbers t such that (1/4, t) is a point on the unit circle
What is +- sqrt 15/4?
300
For a 16 inch pizza, area of a slice with angle 5/8 radians
What is 20 square inches?
300
Four smallest positive numbers such that cos x = 0
What is pi/2, 3pi/2, 5pi/2, 7pi/2?
300
x is in 2nd quadrant. sin x = 3/4. Find cos x
What is -sqrt7/4?
300
Suppose u = 1 radian. Evaluate cos v.
What is .841?
400
Angle in deg corresponding to a circular arc with length pi/7
What is 25.7 deg?
400
Suppose a slice of a 12 inch pizza has an area of 25 square inches. What is the angle of this slice?
What is 25/18 rad?
400
Suppose pi/2 < x < pi and sin x = 1/3. Evaluate cos x
What is -2sqrt2 / 3?
400
x is in 4th quadrant. Given cos x = 2/5, find tan x.
What is -sqrt 21/2?
400
Suppose cos u = 1/5. Evaluate cos v.
What is 2sqrt6/5? cos v = sin u (complement of sine)
500
Length of both circular arcs connecting the points (-1/2,sqrt 3/2) and the point that makes an angle of 200 deg with the positive horizontal
What is 4pi/9 and 14pi/9?
500
Lengths of both circular arcs connecting the points (sqrt3/2,1/2) and the point whose radius make an angle of 3 radians with positive horizontal axis (no decimals)
What is 3 - pi/6 and 13pi/6 - 3?
500
Suppose pi < x < 3pi/2 and cos x = -.2. Evaluate sin x. Round to the hundredth
What is -.98?
500
Find the smallest positive number x such that tan e^x = 0
What is ln pi?
500
Suppose a 25 ft ladder is leaning against a wall, making a 63 deg angle with the ground. How high up the wall is the end of the ladder?
What is 22.3 ft?