What is arctan(1/(tan(x))) ?

The solution to arctan(1/(tan(x))) is arctan(cot(x))

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simplify arctan(1/(tan(x)))

simplify

arctan (\frac{1}{tan ( x )})

arctan (cot (x))

Solution steps

arctan (\frac{1}{tan ( x )})

Rewrite using trig identities

= arctan (cot (x))

(- 1)^{k} sin (θ + π)

cos^{2} (9 0^{\circ} - x)

sec (\frac{π}{2} - θ)

cos (θ - \frac{π}{2})

sec (y) sin (\frac{π}{2} - y)

What is arctan(1/(tan(x))) ?
The solution to arctan(1/(tan(x))) is arctan(cot(x))