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How do you evaluate the equation arctan(-1)?

1 Answer

Jul 15, 2018

$arctan (- 1) = n π - \frac{π}{4}$ $color(maroon)(arctan (-1) = n pi - pi/4$

Explanation:

$arctan (- 1)$ $arctan (-1)$

Let $θ = {tan}^{- 1} - 1$ $theta = tan ^-1 -1$

$tan θ = - 1$ $tan theta = -1$

$tan θ = tan (- 45)$ $tan theta = tan (-45)$

$θ = - 45^{\circ} = - \frac{π}{4}$ $theta = -45^@ = - pi/4$

Generalising, $θ = (n π - (\frac{π}{4}))$ $color(maroon)(theta = (n pi - (pi/4))$

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