What is the value of arctan(6/(-6)) ?

The value of arctan(6/(-6)) is -pi/4

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arctan(6/(-6))

arctan (\frac{6}{- 6})

- \frac{π}{4}

Decimal Notation

- 45

Solution steps

arctan (\frac{6}{- 6})

Simplify

= arctan (- 1)

Use the following property:

arctan (- x) = - arctan (x)

arctan (- 1) = - arctan (1)

= - arctan (1)

Use the following trivial identity:

arctan (1) = \frac{π}{4}

arctan (1)

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}

= \frac{π}{4}

= - \frac{π}{4}

cos (\frac{29 π}{12})

arctan (\frac{3}{- 3 3})

tan (arccos (\frac{24}{25}) - arcsin (\frac{12}{13}))

cot (2 9^{\circ})

3 sin (\frac{4 π}{3})