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

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

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

arctan (3) - arctan (- 3)

\frac{2 π}{3}

Decimal Notation

120

Solution steps

arctan (3) - arctan (- 3)

Use the following property:

arctan (- x) = - arctan (x)

arctan (- 3) = - arctan (3)

= arctan (3) - (- arctan (3))

Simplify

= 2 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}

= 2 \cdot \frac{π}{3}

Simplify

2 \cdot \frac{π}{3} : \frac{2 π}{3}

2 \cdot \frac{π}{3}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{π 2}{3}

= \frac{2 π}{3}

6 sin (- \frac{π}{4})

- 5 cos (2 π)

sin (2 (7 5^{\circ}))

tan (arccos (\frac{3}{5}) + arctan (\frac{1}{4}))

arcsin (\frac{1.5}{1.33})

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