Question 1120997
<font face="Times New Roman" size="+2">


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \sin\varphi\ =\ \frac{p}{q}]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \sin^2\varphi\ =\ \frac{p^2}{q^2]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 1\ -\ \cos^2\varphi\ =\ \frac{p^2}{q^2]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \cos^2\varphi\ =\ 1\ -\ \frac{p^2}{q^2}]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \cos^2\varphi\ =\ \frac{q^2\ -\ p^2}{q^2}]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \cos\varphi\ =\ \pm\frac{\sqrt{q^2\,-\,p^2}}{q}]


Choose sign based on quadrant of the angle for which the sine function was given.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \tan\varphi\ =\ \frac{\sin\varphi}{\cos\varphi}]
								
								
John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
<img src="http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg">
*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \  
								
{{n}\choose{r}}
</font>