What is the value of arctan(tan(-(3pi)/8)) ?

The value of arctan(tan(-(3pi)/8)) is -(3pi)/8

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arctan(tan(-(3pi)/8))

arctan (tan (- \frac{3 π}{8}))

- \frac{3 π}{8}

Solution steps

arctan (tan (- \frac{3 π}{8}))

Use the inverse trig property:

- \frac{3 π}{8}

= - \frac{3 π}{8}

csc^{2} (π)

sin (arcsin (\frac{5}{13}) + arccos (- \frac{4}{5}))

sec (34 5^{\circ})

arccos (sin (\frac{3 π}{4}))

cos (\frac{π}{9}) cos (\frac{2 π}{9}) - sin (\frac{π}{9}) sin (\frac{2 π}{9})

What is the value of arctan(tan(-(3pi)/8)) ?
The value of arctan(tan(-(3pi)/8)) is -(3pi)/8