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What is the exact value of sin 60 degrees?
##sqrt(3)/2##
By using special triangles and the definition of the sine function (as opposite/hypotenuse in a standard right angled triangle) we arrive at the solution. I will upload a picture shortly to explain in more detail..
The exact value can be hilariously long. Here is the exact value to 200 decimal places ##0.86602540378443864676372317075293618347140262690519031402790348972596650845440001854057309337862428783781307070770335151498497254749947623940582775604718682426404661595115279103398741005054233746163251...##