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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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}

tan (\frac{π}{4} - 0.2) - tan (\frac{π}{4})

tan (arccos (\frac{20}{29}))

9.8 \cdot sin (6 0^{\circ})

cos (2 arcsin (\frac{3}{2}))

tan^{2} (4 5^{\circ} + 1 5^{\circ})

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