Question

Find the exact value of the following function. Show your work and explain the steps you take to find the value.
Sec (17π/6)

Answer 1

\[\sec (17\pi /6)\]
= \[\sec ((12\pi + 3\pi + 2\pi)/6)\]
=\[\sec (2\pi + \pi/2 + \pi/3)\]
=\[\sec (\pi/2 + \pi/3)\]
=\[\csc (\pi/3)\]
= \[2/\sqrt{3}\]
=1.732