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

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

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

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

- \frac{π}{3}

Decimal Notation

- 60

Solution steps

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

Simplify:

\frac{- 3}{3} = - 3

\frac{- 3}{3}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{3}{3}

Apply radical rule:

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

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

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

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

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

Subtract the numbers:

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

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

Apply radical rule:

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

= - 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}

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}

3 sin (3)

3 sin (1)

\frac{2 ( cos ( 4 5 ^{\circ} ) ) ^{2} + 3 \cdot csc ( 3 7 ^{\circ} )}{2 \cdot tan ( 4 5 ^{\circ} )}

arctan (\frac{4}{10})

8 cos (22. 5^{\circ}) cos (67. 5^{\circ})

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