What is csc(arctan(t)) ?

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

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simplify csc(arctan(t))

simplify

csc (arctan (t))

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

Solution steps

csc (arctan (t))

Use the following identity:

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

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

sin (x + \frac{18 0 ^{\circ}}{3})

\frac{d x}{sec ^{2} ( 3 ln ( x ) )}

3 sin (\frac{π}{2} - x)

\frac{1}{cos ^{2} ( y )} d y

cos (\frac{17 π}{2} - x)