Question

what is the secant of theta= 5pi/4?

Answer 1

\[\sec(\theta)=\frac{5\pi}{4}\]
\[\frac{1}{\cos(\theta)} = \frac{5\pi}{4}\]
\[1 = \frac{5\pi}{4}\cos(\theta)\]
\[\cos(\theta) = \frac{4}{5 \pi}\]
\[\theta = \cos^{-1}(\frac{4}{5\pi}) \approx 75.25^{o}\]