What is the value of arctan((-(sqrt(3))/2)/(1/2)) ?

The value of arctan((-(sqrt(3))/2)/(1/2)) is -pi/3

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arctan((-(sqrt(3))/2)/(1/2))

arctan (\frac{- \frac{3}{2}}{\frac{1}{2}})

- \frac{π}{3}

Solution steps

arctan (\frac{- \frac{3}{2}}{\frac{1}{2}})

Simplify:

\frac{- \frac{3}{2}}{\frac{1}{2}} = - 3

= 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}

= - \frac{π}{3}

arccos (- 0.05)

cos (0.99)

sin (3 0^{\circ}) \cdot 80

cos^{8} (0)

cos (0.33)

What is the value of arctan((-(sqrt(3))/2)/(1/2)) ?
The value of arctan((-(sqrt(3))/2)/(1/2)) is -pi/3