Law of Cosines and Sines
Radians and Degrees
Lengths of Arcs and Areas of Sectors
Trig Ratios of Acute Angles
Sine, Cosine and Tangent Functions
100
To the nearest degree, find the measure of the smallest angle in a triangle whose sides have lengths of 6 cm, 8 cm and 15 cm.
22.33 degrees
100
Convert 4π/3 to degrees. (without using your unit circle)
240 degrees
100
Find the area of a 17 degree sector of a circle with a radius of 6 yards.
17π/10 yards squared
100
A line goes through the origin and makes a 85 degree angle with with x-axis, find the slope of the line. (nearest hundredth of a degree)
11.43 degrees
100
Which quadrant is Sin, Cos, and Tan positive in?
Quadrant 1
200
In triangle XYZ XY=16, YZ= 12 and angle X=47 degrees, find angle Z.
Z= 77.16 degrees
200
Convert 127 degrees to radians. (round to the nearest hundredth)
2.22 radians
200
Find the length of an arc of a central angle with a measure of 26 degrees in a circle with a radius of 7 cm.
91π/90
200
Find Sin 75.
-.388
200
Which quadrant is only tangent positive?
3
300
A parallelogram has a 85 degree angle and sides of lengths 13 inches and 18 inches. What is the length of its longer diagonal?
20.69 inches
300
Convert 27.626 radians to degrees.
1582.85 degrees
300
Find the area of a 12 degree sector of a circle with a radius of 22 in.
242π/15 inches squared
300
Find Cos 12 degrees.
.978
300
Which quadrant does 17,000 degrees land in?
1
400
In triangle HIJ, suppose measure of angle J is 55 degrees, measure of angle H is 15 degrees and j=3. Find the length of the other two sides.
h= .95 i= 3.44
400
Convert 11π/3 to degrees.
660 degrees
400
Find the length of an arc of a central angle with a measure of 3π/4 in a circle with a radius of 12 in.
9π
400
Find the measure of the acute angle formed by the line y=12x+4 (nearest hundredth)
85.23 degrees
400
Find the exact value for tan -675
1
500
To the nearest degree, find the measure of the smallest angle in a triangle whose sides have lengths of 8 in, 12 in, and 16 in.
28.96 degrees
500
Convert 237.5 degrees to radians. (round to the nearest hundredth)
4.14 Radians
500
Find the area of a 35 degree sector of a circle with a radius of 15 feet.
175π/8 feet squared
500
1. Find Tan 5 2. Find Cos 2π/3 3. Find Sin 55 degrees
1. -3.38 2. -1/2 3. .819
500
Find 3 values for which Sin θ = 1 in radians
π/2 3π/2 5π/2
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