What is the value of arctan(tan(0)) ?

The value of arctan(tan(0)) is 0

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arctan(tan(0))

arctan (tan (0))

0

Solution steps

arctan (tan (0))

Use the following trivial identity:

tan (0) = 0

tan (0)

tan (x)

periodicity table with

πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

= arctan (0)

= arctan (0)

Use the following trivial identity:

arctan (0) = 0

arctan (0)

x 0 \frac{3}{3} 13 arctan (x) 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} arctan (x) 0^{\circ} 3 0^{\circ} 4 5^{\circ} 6 0^{\circ}

= 0

= 0

\frac{14}{tan ( 4 9 ^{\circ} )}

arcsin (\frac{1}{4})

cos (2 arctan (- 2))

- cos (\frac{5 π}{3})

arctan (- 0.25)