Question 653321
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You didn't bother to say what point, so I get to choose my own.  So, The terminal side of an angle in standard position passes through the point *[tex \LARGE \left(x,\,y\right)] where *[tex \LARGE x^2\ +\ y^2\ =\ 1]


In that case:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \sin\varphi\ =\ y]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \cos\varphi\ =\ x]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \tan\varphi\ =\ \frac{y}{x}]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \cot\varphi\ =\ \frac{x}{y}]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \sec\varphi\ =\ \frac{1}{x}]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \csc\varphi\ =\ \frac{1}{y}]


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