How do you evaluate the sine, cosine, and tangent of the angle $30$ degrees without using a calculator?

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Solution

Sine: $\frac{1}{2}$
Cosine: $\frac{\sqrt{3}}{2}$
Tangent: $\frac{\sqrt{3}}{3}$
Explanation:
Well in my country, you simply must know, since you won't keep doing the trigonometric relations on a circle over and over again to understand them. There are some quick ways to get it on your head:

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