What is the value of sec(-(11pi)/(12)) ?

The value of sec(-(11pi)/(12)) is -sqrt(6)+sqrt(2)

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sec(-(11pi)/(12))

sec (- \frac{11 π}{12})

- 6 + 2

Solution steps

sec (- \frac{11 π}{12})

Use the following property:

sec (- x) = sec (x)

sec (- \frac{11 π}{12}) = sec (\frac{11 π}{12})

= sec (\frac{11 π}{12})

Rewrite using trig identities:

\frac{1}{cos ( \frac{11 π}{12} )}

= \frac{1}{cos ( \frac{11 π}{12} )}

Rewrite using trig identities:

cos (\frac{11 π}{12}) = \frac{- 6 - 2}{4}

= \frac{1}{\frac{- 6 - 2}{4}}

Simplify

\frac{1}{\frac{- 6 - 2}{4}} : - 6 + 2

= - 6 + 2

sec (94 5^{\circ})

cosh (7)

csc (\frac{7 π}{2})

arccos (\frac{5.3}{8.5})

cos^{2} (\frac{1}{2} arccos (\frac{12}{13}))

What is the value of sec(-(11pi)/(12)) ?
The value of sec(-(11pi)/(12)) is -sqrt(6)+sqrt(2)