A Probelem with sketching circular functions

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To sketch the functions y = sin(x), y = cos(x), and y = tan(x), select key x values such as 0, ±π/4, ±π/2, and 3π/4, then calculate the corresponding y values. Plot these points on a graph and connect them with smooth curves to represent each function accurately. For the inverse functions y = arcsin(x), y = arccos(x), and y = arctan(x), reverse the (x, y) pairs from the original functions, plot these new points, and draw smooth curves through them. This method ensures a clear representation of both the trigonometric and their inverse functions. Understanding these steps is essential for effective graphing of circular functions.
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Can anyone please explain to me steps involved in sketching sin , cos , tan and their inverse function ?
Thanks a lot
 
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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.
 

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