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Triangle Trigonometry formulas and theorems

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Question
Answer
sine of an angle in a right triangle   opposite / hypotenuse  
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cosine of an angle in a right triangle   adjacent / hypotenuse  
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tangent of an angle in a right triangle   opposite / adjacent  
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To convert degrees to radians multiply by ___   pi / 180  
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To convert radians to degrees multiple by ___   180 / pi  
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Length of a circular arc   radius * central angle  
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Area of a circular sector   A = (1/2)r^2*central angle  
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csc of an angle in a right triangle   hypotenuse / opposite  
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sec of an angle in a right triangle   hypotenuse / adjacent  
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cot of an angle in a right triangle   adjacent / opposite  
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Area of a non right triangle   (1/2)a*b*sinC  
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The Law of Sines   (sin A)/a = (sin B)/b = (sin C)/c  
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The Ambiguous Case   SSA  
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The Law of Cosines (side length a)   a^2 = b^2 + c^2 - 2bc cos A  
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The Law of Cosines (Angle A)   Cos A = (b^2 + c^2 - a^2) / (2bc)  
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Heron's Formula for area of a triangle   square root (s(s-a)(s-b)(s-c))  
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Created by: saxmank
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