Q. 63.9( 120 Votes )

Write the following functions in the simplest form:

tan^-1 1/root x^2 - 1 , |x|>1

Answer :

Let us take,


[We have done this substitution on the bases of identity sec2θ – 1 = tan2θ]


Therefore,

Now we know that, cosec2θ – 1 = cot2θ

Therefore,

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