Question 615349
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Typing in all caps is both rude and annoying.  Stop it.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \cos(\varphi)\ >\ 0] for *[tex \LARGE \frac{3\pi}{2}\ \leq\ \varphi\ \leq\ 2\pi], i.e. Quadrant IV.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \sin(\varphi)\ =\ -\sqrt{1\ -\ \cos^2(\varphi)] for *[tex \LARGE \frac{3\pi}{2}\ \leq\ \varphi\ \leq\ 2\pi]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \tan(\varphi)\ =\ \frac{\sin(\varphi)}{\cos{\varphi}]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \cot(\varphi)\ =\ \frac{\cos(\varphi)}{\sin{\varphi}]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \sec(\varphi)\ =\ \frac{1}{\cos{\varphi}]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \csc(\varphi)\ =\ \frac{1}{\sin{\varphi}]


And drop the BS about "I've never done trigonometry before"  That dog won't hunt.


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