What is the value of sec((13pi)/(12)) ?

The value of sec((13pi)/(12)) is sqrt(2)(1-sqrt(3))

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sec((13pi)/(12))

sec (\frac{13 π}{12})

2 (1 - 3)

Solution steps

sec (\frac{13 π}{12})

Rewrite using trig identities:

\frac{1}{cos ( \frac{13 π}{12} )}

= \frac{1}{cos ( \frac{13 π}{12} )}

Rewrite using trig identities:

cos (\frac{13 π}{12}) = \frac{2 ( - 3 - 1 )}{4}

= \frac{1}{\frac{2 ( - 3 - 1 )}{4}}

Simplify

\frac{1}{\frac{2 ( - 3 - 1 )}{4}} : 2 (1 - 3)

= 2 (1 - 3)

arcsin (1.17)

cos (\frac{2 π}{7}) + i sin (\frac{2 π}{7})

tan (\frac{7 π}{6} - \frac{π}{4})

cos (\frac{45}{2})

cot (2 4^{\circ})

What is the value of sec((13pi)/(12)) ?
The value of sec((13pi)/(12)) is sqrt(2)(1-sqrt(3))