Daily Graph 19-8-09

Draw the graph of

y=tan^-1(2tanx)

1 Answers

106

Asish Mahapatra ·2009-10-16 03:28:06

tan^-1(2x) = tan^-1(2x1-x²) -1<x<1
= pi + tan^-1(2x1-x²) x>1

= -pi + tan^-1(2x1-x²) x<-1

So putting tanx in place of x

we have tan^-1(2tanx) = 2x, -1<tanx<1
= pi+2x tanx>1
= -pi + 2x tanx < -1

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