What is the value of arctan((sqrt(2))/(-sqrt(2))) ?

The value of arctan((sqrt(2))/(-sqrt(2))) is -pi/4

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arctan((sqrt(2))/(-sqrt(2)))

arctan (\frac{2}{- 2})

- \frac{π}{4}

Solution steps

arctan (\frac{2}{- 2})

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}

= - \frac{π}{4}

ln (cos (\frac{π}{2}))

4 (cos (\frac{π}{2}) + i sin (\frac{π}{2}))

\frac{10}{cos ( 3 0 ^{\circ} )}

arctan (- \frac{5}{4})

\frac{1}{sin ( 4 0 ^{\circ} )}

What is the value of arctan((sqrt(2))/(-sqrt(2))) ?
The value of arctan((sqrt(2))/(-sqrt(2))) is -pi/4