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Maths: Trigonometry
Question
What does SOH CAH TOA stand for?
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Answer
SOH: sin θ = Opposite/Hypotenuse. CAH: cos θ = Adjacent/Hypotenuse. TOA: tan θ = Opposite/Adjacent.
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Question
What is the hypotenuse of a right triangle?
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Answer
The longest side — opposite the right angle.
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Question
What is sin(30°)?
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Answer
0.5 (or 1/2).
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Question
What is cos(60°)?
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Answer
0.5 (or 1/2).
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Question
What is tan(45°)?
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Answer
1.
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Question
What is sin(90°)?
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Answer
1.
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Question
What is cos(0°)?
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Answer
1.
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Question
What is the Pythagorean theorem?
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Answer
In a right triangle: a² + b² = c², where c is the hypotenuse.
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Question
What is the sine rule?
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Answer
a/sin A = b/sin B = c/sin C. Used for any triangle when you know two angles and a side, or two sides and a non-included angle.
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Question
What is the cosine rule?
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Answer
a² = b² + c² − 2bc cos A. Used when you know three sides or two sides and the included angle.
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