What is csc(arctan(x)) ?

The solution to csc(arctan(x)) is (sqrt(1+x^2))/x

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simplify csc(arctan(x))

simplify

csc (arctan (x))

\frac{1 + x ^{2}}{x}

Solution steps

csc (arctan (x))

Use the following identity:

csc (arctan (x)) = \frac{1 + x ^{2}}{x}

= \frac{1 + x ^{2}}{x}

sin (x) - sin (- x)

sec (\frac{π}{2} - x)

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cos (36 0^{\circ} - x)

cos (18 0^{\circ} - a)