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Triangle Trig
Triangle Trigonometry formulas and theorems
Question | Answer |
---|---|
sine of an angle in a right triangle | opposite / hypotenuse |
cosine of an angle in a right triangle | adjacent / hypotenuse |
tangent of an angle in a right triangle | opposite / adjacent |
To convert degrees to radians multiply by ___ | pi / 180 |
To convert radians to degrees multiple by ___ | 180 / pi |
Length of a circular arc | radius * central angle |
Area of a circular sector | A = (1/2)r^2*central angle |
csc of an angle in a right triangle | hypotenuse / opposite |
sec of an angle in a right triangle | hypotenuse / adjacent |
cot of an angle in a right triangle | adjacent / opposite |
Area of a non right triangle | (1/2)a*b*sinC |
The Law of Sines | (sin A)/a = (sin B)/b = (sin C)/c |
The Ambiguous Case | SSA |
The Law of Cosines (side length a) | a^2 = b^2 + c^2 - 2bc cos A |
The Law of Cosines (Angle A) | Cos A = (b^2 + c^2 - a^2) / (2bc) |
Heron's Formula for area of a triangle | square root (s(s-a)(s-b)(s-c)) |