What is the value of arctan(tan(-(4pi)/9)) ?

The value of arctan(tan(-(4pi)/9)) is -(4pi)/9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

arctan(tan(-(4pi)/9))

arctan (tan (- \frac{4 π}{9}))

- \frac{4 π}{9}

Decimal Notation

- 80

Solution steps

arctan (tan (- \frac{4 π}{9}))

Use the inverse trig property:

- \frac{4 π}{9}

arctan (tan (- \frac{4 π}{9}))

For

- \frac{π}{2} < x < \frac{π}{2}, a rc t an (t an (x)) = x

- \frac{π}{2} < - \frac{4 π}{9} < \frac{π}{2}

= - \frac{4 π}{9}

= - \frac{4 π}{9}

100 cos (7 0^{\circ})

\frac{sin ( 4 0 ^{\circ} ) - sin ( 2 0 ^{\circ} )}{cos ( 4 0 ^{\circ} ) - cos ( 2 0 ^{\circ} )}

cos (\frac{π}{6}) cos (\frac{π}{6}) - sin (\frac{π}{6}) sin (\frac{π}{6})

\frac{24 sin ( 2 2 ^{\circ} )}{sin ( 4 0 ^{\circ} )}

tan (72 0^{\circ})

What is the value of arctan(tan(-(4pi)/9)) ?
The value of arctan(tan(-(4pi)/9)) is -(4pi)/9