What is the value of arctan((5sqrt(3))/(-5)) ?

The value of arctan((5sqrt(3))/(-5)) is -pi/3

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arctan((5sqrt(3))/(-5))

arctan (\frac{5 3}{- 5})

- \frac{π}{3}

Decimal Notation

- 60

Solution steps

arctan (\frac{5 3}{- 5})

Simplify

= arctan (- 3)

Use the following property:

arctan (- x) = - arctan (x)

arctan (- 3) = - arctan (3)

= - arctan (3)

Use the following trivial identity:

arctan (3) = \frac{π}{3}

arctan (3)

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}{3}

= - \frac{π}{3}

arcsin (\frac{73}{83})

sin (2 π)

0 sin (\frac{1}{0})

sin (6 0^{\circ}) cos (4 5^{\circ})

tan (\frac{5}{8})

What is the value of arctan((5sqrt(3))/(-5)) ?
The value of arctan((5sqrt(3))/(-5)) is -pi/3