Question

What is tan 330°?

Answer 1

-1
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sqaure root(3)

Answer 2

330 degrees is the same as 11pi/6 radians. It's in quadrant 4 of the unit circle, under the x-axis by 30 degrees (or pi/6 radians). This is a 30-60-90 triangle with the opposite side measuring -1 and the adjacent side measuring sqrt(3).

tan(330) = opposite/adjacent = -1/sqrt(3)

Or -3^(-1/2) if you prefer it with exponents.