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Problem 12 - Olympiad
What is the value of sin(60°) in a right-angled triangle?
A. 1/2
B. √3/2
C. 1/√3
D. 1/√2
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Correct: B
In a right-angled triangle, sin(θ) = opposite side / hypotenuse. For a 60° angle in a 30-60-90 triangle, the sides are in the ratio 1:√3:2. Therefore, sin(60°) = √3 / 2.