Question

Exact value of
sec(-11pi/12)

Answer 1

\(\bf -\cfrac{11}{12}\implies \cfrac{9}{12}-\cfrac{20}{12}\implies \cfrac{3}{4}-\cfrac{5}{3}\qquad thus
\\ \quad \\
-\cfrac{11\pi}{12}\implies \cfrac{3\pi}{4}-\cfrac{5\pi}{3}\qquad thus
\\ \quad \\
sec\left(-\frac{11\pi}{12}\right)\implies sec\left(\frac{3\pi}{4}-\frac{5\pi}{3}\right)\implies \cfrac{1}{cos\left(\frac{3\pi}{4}-\frac{5\pi}{3}\right)}\)

and you can get those values from your Unit Circle

Answer 2

thank you ^.^

Answer 3

yw