Laws
What is the formula for the Law of Sines?
What is the formula for the Law of Sines?
a/sinA = b/sinB = c/sinC
A reference angle can never be greater than ____ degrees.
A reference angle can never be greater than 90 degrees.
Math word:
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Circumference
What is the formula for the Law of Cosines?
What is the formula for the Law of Cosines?
c2 = a2 + b2 - 2ab*cos(C)
True or False: 45 degrees and -345 degrees have the same terminal point.
True or False: 45 degrees and -345 degrees have the same terminal point.
False
Country:
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Nauru
Triangle PQR has sides RP = 28 and PQ = 41. Angle Q (non-included angle) is 39 degrees. What is the measure of Angle R?
Triangle PQR has sides RP = 28 and PQ = 41. Angle Q (non-included angle) is 39 degrees. What is the measure of Angle R?
sinR/r = sinQ/q = sin(39 degrees)/28
sinR = (41*sin(39 degrees)) / 28
sinR = 0.9215...
R = sin-1(0.9215) = 67.1 degrees
Name and give the formulas for the 6 trig functions.
Name and give the formulas for the 6 trig functions.
sin = opposite/hypotenuse
cos = adjacent/hypotenuse
tan = opposite/adjacent
csc = hypotenuse/opposite
sec = hypotenuse/adjacent
cot = adjacent/opposite
US City:
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Baltimore
In Triangle ABC, side AB is 7 ft, side BC is 16 ft, and angle B (the included angle) is 95 degrees.
What is the length of side b?
In Triangle ABC, side AB is 7 ft, side BC is 16 ft, and angle B (the included angle) is 95 degrees.
What is the length of side b?
b2 = a2 + c2 - 2ac*cos(B)
b2 = 162 + 72 - 2(16)(7)cos(95 degrees)
b2 = 324.5 --> b = 18 ft
The measure of an angle subtended by an arc length equal to the circle's radius is called a ______
The measure of an angle subtended by an arc length equal to the circle's radius is called a radian.
Chinese City
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Yantai
Eksan and Kevin are standing at the seashore 10 km apart. The coastline is a straight line between them. Both can see the same ship in the water. The angle between the coastline and the line between the ship and Eksan is 35 degrees. The angle between the coastline and the line between the ship and Kevin is 45 degrees. How far is the ship from Eksan?
Eksan and Kevin are standing at the seashore 10 km apart. The coastline is a straight line between them. Both can see the same ship in the water. The angle between the coastline and the line between the ship and Eksan is 35 degrees. The angle between the coastline and the line between the ship and Kevin is 45 degrees. How far is the ship from Eksan?
10/sin(100 deg) = x/sin(45 deg)
sin(45 deg) * 10/sin(100 deg) = ~7.2 miles
What is Heron's Formula and what is it used for?
What is Heron's Formula and what is it used for?
Area = sqrt(s(s-a)(s-b)(s-c)), where s = semiperimeter and a, b, c = side lengths
Finding the area of any triangle
Language:
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Urdu