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

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

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

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

- \frac{π}{4}

Solution steps

arctan (\frac{2 2}{- 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}

\frac{20}{tan ( 3 0 ^{\circ} )}

arctan (- 0.27)

sinh (\frac{7}{20})

sin (4 5^{\circ}) + tan (3 0^{\circ})

csc (4 7^{\circ})

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