What is the value of arctan(tan((10pi)/(11))) ?

The value of arctan(tan((10pi)/(11))) is -pi/(11)

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arctan(tan((10pi)/(11)))

arctan (tan (\frac{10 π}{11}))

- \frac{π}{11}

Decimal Notation

- 16.36

Solution steps

arctan (tan (\frac{10 π}{11}))

Use the inverse trig property:

- \frac{π}{11}

arctan (tan (\frac{10 π}{11}))

For

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

Rewrite using trig identities:

tan (\frac{10 π}{11}) = tan (- \frac{π}{11})

tan (\frac{10 π}{11})

tan (x + π \cdot k) = tan (x)

= tan (\frac{10 π}{11} - 1 π)

= tan (- \frac{π}{11})

= arctan (tan (- \frac{π}{11}))

- \frac{π}{2} < - \frac{π}{11} < \frac{π}{2}

= - \frac{π}{11}

= - \frac{π}{11}

sin (1 9^{\circ})

cos^{2} (18 0^{\circ})

sec (arcsin (- \frac{1}{2}))

tan (2 2^{\circ})

cos (arcsin (0))

What is the value of arctan(tan((10pi)/(11))) ?
The value of arctan(tan((10pi)/(11))) is -pi/(11)