What is the value of sec(-(5pi)/(12)) ?

The value of sec(-(5pi)/(12)) is sqrt(6)+sqrt(2)

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sec(-(5pi)/(12))

sec (- \frac{5 π}{12})

6 + 2

Solution steps

sec (- \frac{5 π}{12})

Use the following property:

sec (- x) = sec (x)

sec (- \frac{5 π}{12}) = sec (\frac{5 π}{12})

= sec (\frac{5 π}{12})

Rewrite using trig identities:

\frac{1}{cos ( \frac{5 π}{12} )}

= \frac{1}{cos ( \frac{5 π}{12} )}

Rewrite using trig identities:

cos (\frac{5 π}{12}) = \frac{6 - 2}{4}

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

Simplify

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

= 6 + 2

arctan (\frac{1}{2}) + arctan (\frac{1}{3})

cos (arccos (1))

tan (1 6^{\circ})

20 \cdot sin (3 0^{\circ})

cos (\frac{3 π}{5})

What is the value of sec(-(5pi)/(12)) ?
The value of sec(-(5pi)/(12)) is sqrt(6)+sqrt(2)