What is the value of arctan(tan(83/63 pi)) ?

The value of arctan(tan(83/63 pi)) is (20pi)/(63)

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arctan(tan(83/63 pi))

arctan (tan (\frac{83}{63} π))

\frac{20 π}{63}

Decimal Notation

57.14

Solution steps

arctan (tan (\frac{83}{63} π))

Use the inverse trig property:

\frac{20 π}{63}

arctan (tan (\frac{83}{63} π))

For

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

Rewrite using trig identities:

tan (\frac{83}{63} π) = tan (\frac{20 π}{63})

tan (\frac{83}{63} π)

tan (x + π \cdot k) = tan (x)

= tan (\frac{83}{63} π - 1 π)

= tan (\frac{20 π}{63})

= arctan (tan (\frac{20 π}{63}))

- \frac{π}{2} < \frac{20 π}{63} < \frac{π}{2}

= \frac{20 π}{63}

= \frac{20 π}{63}

tan (\frac{18}{2 45})

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sin (3.25)

sin (3.21)

What is the value of arctan(tan(83/63 pi)) ?
The value of arctan(tan(83/63 pi)) is (20pi)/(63)