I have been searching up the sine of some angles and I noticed that WolframAlpha had some alternate forms that had division and square roots (but only for angles divisible by 3), kind of like sine of the basic angles (30 degrees, 45 degrees, 60 degrees, etc.). How does WolframAlpha calculate the alternate forms of the sine of angles divisible by 3 with square roots and division?
I tried dividing the basic angles by some value and seeing the relationships between the sine of the basic angle and the sine of the basic angle divided by the value, but I couldn't find anything. Next, I searched Google, but I couldn't find any helpful results. How does WolframAlpha calculate the alternate forms of the sine of angles divisible by 3 with square roots and division?
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