What is csc(arctan(v)) ?

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

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simplify csc(arctan(v))

simplify

csc (arctan (v))

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

Solution steps

csc (arctan (v))

Use the following identity:

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

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

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