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Triangle Trig

Triangle Trigonometry formulas and theorems

QuestionAnswer
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))
Created by: saxmank