What is the value of sec(-(23pi)/6) ?

The value of sec(-(23pi)/6) is (2sqrt(3))/3

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sec(-(23pi)/6)

sec (- \frac{23 π}{6})

\frac{2 3}{3}

Solution steps

sec (- \frac{23 π}{6})

Use the following property:

sec (- x) = sec (x)

sec (- \frac{23 π}{6}) = sec (\frac{23 π}{6})

= sec (\frac{23 π}{6})

sec (\frac{23 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}

20 sin (7 0^{\circ})

- 5 + csc (e^{1 + 4})

arcsin (- 1.21)

tan (π + arcsin (\frac{2}{3}))

- sin^{2} (1)

What is the value of sec(-(23pi)/6) ?
The value of sec(-(23pi)/6) is (2sqrt(3))/3