Tuesday, November 9, 2010

Graphing Inverse Trigonometric Functions

Graphing inverse Trigonometric functions is pretty much like taking a part of a trigonometric function that passes the horrizontal line test, and flipping it over the line y=x

this is what arctan looks like....
tanx                arctan
D:(-pi/2,pi/2)                  D:(-infin,infin)
R:(-infin,infin)                   R:(-pi,pi)
this is what arcsin looks like (just the red part)...
sinx                arcsinx
D:(-pi/2,pi/2)                  D:(-1,1)
R:(-1,1)                   R:(-pi/2,pi/2)



and this is what arccos looks like (just the black part);
cosx                arccosx
D:(0,pi)                  D:(-1,1)
R:(-1,1)                   R:(0,pi)




Remember, the output of an inverse trig function is an ANGLE

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