How do you find the value of $csc [arctan(x/sqrt2)]$ ?

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Answer 1 · 2016-11-11T23:40:37

$csc [arctan(x/sqrt2)]$

$=csc [arc cot(sqrt2/x)]$

$=csc [arc cscsqrt(1+(sqrt2/x)^2)]$

$=sqrt(1+(sqrt2/x)^2)$

$=sqrt(1+2/x^2)$

$=sqrt(x^2+2)/x$

How do you find the value of csc [arctan(x/sqrt2)]csc [arctan(x/sqrt2)]?