What is the value of arctan(tan((6pi)/5)) ?

The value of arctan(tan((6pi)/5)) is pi/5

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arctan(tan((6pi)/5))

arctan (tan (\frac{6 π}{5}))

\frac{π}{5}

Decimal Notation

36

Solution steps

arctan (tan (\frac{6 π}{5}))

Use the inverse trig property:

\frac{π}{5}

arctan (tan (\frac{6 π}{5}))

For

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

Rewrite using trig identities:

tan (\frac{6 π}{5}) = tan (\frac{π}{5})

tan (\frac{6 π}{5})

tan (x + π \cdot k) = tan (x)

= tan (\frac{6 π}{5} - 1 π)

= tan (\frac{π}{5})

= arctan (tan (\frac{π}{5}))

- \frac{π}{2} < \frac{π}{5} < \frac{π}{2}

= \frac{π}{5}

= \frac{π}{5}

sin (2 0^{\circ}) cos (3 0^{\circ}) - cos (2 0^{\circ}) sin (3 0^{\circ})

sec (arcsin (- \frac{3}{5}))

sin (- 157.3 8^{\circ})

arcsin (0.38)

arccos (\frac{1}{26})

What is the value of arctan(tan((6pi)/5)) ?
The value of arctan(tan((6pi)/5)) is pi/5