Question 627299
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*[tex \LARGE 345^\circ\ =\ -15^\circ], and *[tex \LARGE -15^\circ\ =\ \frac{-30^\circ}{2}]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \tan\left(\frac{\varphi}{2}\right)\ =\ \frac{1\ -\ \cos(\varphi)}{\sin(\varphi)}]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \cos(-30^\circ)\ =\ \frac{\sqrt{3}}{2}]


and


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \sin(-30^\circ)\ =\ -\frac{1}{2}]


Plug in the values and do the arithmetic.


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
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