What is the value of arctan(tan((9pi)/7)) ?

The value of arctan(tan((9pi)/7)) is (2pi)/7

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arctan(tan((9pi)/7))

arctan (tan (\frac{9 π}{7}))

\frac{2 π}{7}

Decimal Notation

51.43

Solution steps

arctan (tan (\frac{9 π}{7}))

Use the inverse trig property:

\frac{2 π}{7}

arctan (tan (\frac{9 π}{7}))

For

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

Rewrite using trig identities:

tan (\frac{9 π}{7}) = tan (\frac{2 π}{7})

tan (\frac{9 π}{7})

tan (x + π \cdot k) = tan (x)

= tan (\frac{9 π}{7} - 1 π)

= tan (\frac{2 π}{7})

= arctan (tan (\frac{2 π}{7}))

- \frac{π}{2} < \frac{2 π}{7} < \frac{π}{2}

= \frac{2 π}{7}

= \frac{2 π}{7}

arcsin (\frac{23}{24})

cot (arcsin (- \frac{5}{4}))

tan (- 7 π)

1 + 2 cos (\frac{π}{2})

sin (- 72 0^{\circ})

What is the value of arctan(tan((9pi)/7)) ?
The value of arctan(tan((9pi)/7)) is (2pi)/7