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Mathematics 13 Online
OpenStudy (anonymous):

solve and simplify

OpenStudy (anonymous):

\[\tan ^{-1}\left(\ \frac{ 1 }{ \sqrt{x^2+1} }\right)\] wat shud we solve

OpenStudy (anonymous):

simplify it

OpenStudy (anonymous):

not clear ıs thıs equal to somethıng

OpenStudy (anonymous):

no can we put x= tan theta

OpenStudy (shubhamsrg):

yes, put x=tan y

OpenStudy (anonymous):

but at the end , i got theta which is equal to tan^-1x

OpenStudy (anonymous):

so this is the answer

OpenStudy (shubhamsrg):

I am too lazy to check if you'll get theta in the end or not, but if you are getting theta, then yes, tan^-1 x is your final ans

OpenStudy (anonymous):

okay thank u @shubhamsrg

OpenStudy (shubhamsrg):

glad to help

OpenStudy (anonymous):

no, i m getting tan^-1(costheta)

OpenStudy (shubhamsrg):

convert tan^-1 into cos^-1 by using trigonometric manipulations

OpenStudy (anonymous):

hmm, how

OpenStudy (shubhamsrg):

tan^-1 z = t z = tant z^2 = sec^2 t -1 cost = sqrt(1/ 1+z^2) t= cos^-1 (sqrt( 1/ 1+z^2) )

OpenStudy (mertsj):

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