What is csc(arctan(q)) ?

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

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simplify csc(arctan(q))

simplify

csc (arctan (q))

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

Solution steps

csc (arctan (q))

Use the following identity:

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

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

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