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

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

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

arctan (tan (- \frac{4 π}{9}))

- \frac{4 π}{9}

Solution steps

arctan (tan (- \frac{4 π}{9}))

Use the inverse trig property:

- \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