# A Probelem with sketching circular functions

1. May 21, 2009

### noneedtocare

Can anyone please explain to me steps involved in sketching sin , cos , tan and their inverse function ?
Thanks a lot

2. May 21, 2009

### HallsofIvy

Staff Emeritus
I assume you mean graphing y= sin(x), y= cos(x), y= tan(x) and the graphs of the inverse functions, y= arcsin(x), y= arccos(x), y= arctan(x).

Pick a number of values for x, say, x= 0, $\pm \pi/4$, $\pm \pi/2$,$3\pi/4$, etc. Calculate the corresponding y values, sin(0), cos(0), tan(0), etc. and mark the points $(0, sin(0))$, $(\pi/4, sin(\pi/4)$, etc. then draw a smooth curve through those points to graph y= sin(x) and do the corresponding thing for y= cos(x) and y= tan(x). For the inverse functions, reverse the (x,y) pairs, mark those points and then draw a smooth curve through those.