Circle Measures
SOHCAHTOA
Exact Trig Values
Law of Sines
Law of Cosines
100
The units that angles should be measured in, when using either the "arc length" or "sector area" formula.
What are "radians"?
100
The three equations that make up the "SOHCAHTOA" acronym
What are: sin(A) = (opp/hyp) cos(A) = (adj/hyp) tan(A) = (opp/adj)
100
The value of sin(90°)
What is 1?
100
True or False: The Law of Sines is not restricted to right triangles; it holds for any triangle.
What is "True"?
100
The side of the triangle you should find first, if given angle "B", side "a", and side "c"
What is side "b"?
200
The exact length of the arc intercepted by a central angle of (π/4) on a circle with radius 5 km.
What is (5π/4) km?
200
The SOHCAHTOA equation you would use to find side "a" if you knew angle "A" and side "b"
What is the "Tangent" equation?
200
The value of cos(30°)
What is sqrt(3)/2?
200
True or False: If you know side "a", side "b", and angle "C", you can use the Law of Sines to find the first unknown piece of the triangle
What is "False"?
200
True or False: The Law of Cosines should be used when you know either an "SAS" pattern or "SSS" pattern of triangle parts
What is "True"?
300
The sector area, approximated to the nearest tenth, with a central angle of (5π/6) on a circle with radius 10 cm.
What is 130.9 sq. cm?
300
The SOHCAHTOA equation you would use to find side "c" if you knew angle "A" and side "b"
What is the "Cosine" equation?
300
The smallest positive angle measure that has a cosine value of (-1)
What is 180°?
300
Which two ratios from the Law of Sines would you use to find side "a" if given angle "C", angle "A", and side "b"?
What is sin(B)/b and sin(A)/a?
300
If the measure of one of the angles in the triangle is 90°, then the Law of Cosines simplifies into the ___________
What is "Pythagorean Theorem"?
400
The sector area, approximated to the nearest tenth, with a central angle of 135° on a circle with radius 4 m.
What is 18.8 sq. m?
400
The length of side "b", approximated to the nearest hundredth, if angle "A" is 77° and side "a" is 8 feet
What is 1.85 feet?
400
The value of sin(11π/6)
What is (-1/2)?
400
The length of side "a", approximated to the nearest tenth, if angle "A" is 42°, angle "B" is 66°, and side "b" is 23 meters
What is 16.8 meters?
400
The value of side "a", rounded to the nearest tenth, if side "b" is 13 feet, side "c" is 17 feet, and angle "A" is 80°
What is 19.5 feet?
500
The exact length of the arc intercepted by a central angle of 240° on a circle with radius 8 in.
What is (32π/3) in.?
500
The measure of angle "B", approximated to the nearest tenth of a degree, if side "b" is 21 meters and side "c" is 28 meters
What is 48.6°?
500
The value of cot(2π/3) (with the denominator rationalized)
What is -sqrt(3)/3?
500
The measure of angle "C", approximated to the nearest tenth of a degree, if angle "A" is 55°, side "c" is 18 feet, and side "a" is 22 feet
What is 42.1°?
500
The measure of angle "C", rounded to the nearest tenth of a degree, if side "a" is 6 cm, side "b" is 8 cm, and side "c" is 10 cm
What is 90°?
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