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

The value of sec(-(11pi)/6) is (2sqrt(3))/3

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sec(-(11pi)/6)

sec (- \frac{11 π}{6})

\frac{2 3}{3}

Solution steps

sec (- \frac{11 π}{6})

Use the following property:

sec (- x) = sec (x)

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

= sec (\frac{11 π}{6})

Rewrite using trig identities:

\frac{1}{cos ( \frac{11 π}{6} )}

= \frac{1}{cos ( \frac{11 π}{6} )}

Rewrite using trig identities:

cos (\frac{11 π}{6}) = \frac{3}{2}

= \frac{1}{\frac{3}{2}}

Simplify

\frac{1}{\frac{3}{2}} : \frac{2 3}{3}

= \frac{2 3}{3}

arctan (\frac{13}{9})

\frac{1}{sin ( \frac{π}{2} )}

cos (9 1^{\circ})

cos (\frac{π}{8}) + i sin (\frac{π}{8})

cos (\frac{29 π}{6})

What is the value of sec(-(11pi)/6) ?
The value of sec(-(11pi)/6) is (2sqrt(3))/3