Evaluate without using a calculator: sin(60°) The answer is √3/2, but how do work this out? Can you give me a step by step answer?

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sin(60degrees) is  angle of a special triangle, 30,60,90.the hypotenuse in this triangle is 2.the longest leg which is opposite of 60 degrees is √3.now its asking for sin(60):imagine a triangle and and place the 30,60, 90 degrees in their respective places. and plug in the special triangle values. when you look at it sin(60) its opposite is √3 and the hypotenuse is 2. opposite over hypotenuse, so √3/2the shortest which is opposite of 30 degrees is 1.