What is the value of tan(-(11pi)/6) ?

The value of tan(-(11pi)/6) is (sqrt(3))/3

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tan(-(11pi)/6)

tan (- \frac{11 π}{6})

\frac{3}{3}

Solution steps

tan (- \frac{11 π}{6})

Use the following property:

tan (- x) = - tan (x)

tan (- \frac{11 π}{6}) = - tan (\frac{11 π}{6})

= - tan (\frac{11 π}{6})

tan (\frac{11 π}{6}) = tan (\frac{5 π}{6})

= - tan (\frac{5 π}{6})

Rewrite using trig identities:

tan (\frac{5 π}{6}) = - \frac{3}{3}

= - (- \frac{3}{3})

Simplify

= \frac{3}{3}

arcsec (- \frac{2}{3})

arcsin (cos (\frac{π}{9}))

2 sec^{2} (\frac{π}{4})

csc (- 22 5^{\circ})

arccos (0.707)

What is the value of tan(-(11pi)/6) ?
The value of tan(-(11pi)/6) is (sqrt(3))/3