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its proved usually by drawing the angle inside the unit circle

actually it does not!

the cos of that angle = 1/2 regardless of any other measures

\[cos(-\frac{5\pi}{3})+=\frac{1}{2}\]

\[= \]cos(-5pi/3)
=cos(5pi/3)
=\[cos( 2 \pi - 5\pi/3)\]
\[=\cos(\pi / 3)\]
= 1/2

cos is the x value of the angle dropped down to the x axis

sin is the y value

like this

a ton eh ;) i should be around till about 5. cant say much for after that tho