# Thread: arcsec proplem pls

1. ## arcsec proplem pls

Evaluate arcsec sec -9pie/7

pleas explain the steps thanks

2. Originally Posted by kevintrung
Evaluate arcsec sec -9pie/7

pleas explain the steps thanks
you need to know that the range of the inverse secant function is ...

$\displaystyle \left[0,\frac{\pi}{2}\right) \cup \left(\frac{\pi}{2} , \pi\right]$

get an angle co-terminal with $\displaystyle \theta = -\frac{9\pi}{7}$ that is in the range of the inverse secant function ...

$\displaystyle \sec\left(-\frac{9\pi}{7}\right) = \sec\left(\frac{5\pi}{7}\right)$

$\displaystyle arcsec\left[\sec\left(\frac{5\pi}{7}\right)\right] = \frac{5\pi}{7}$

3. Originally Posted by skeeter
you need to know that the range of the inverse secant function is ...

$\displaystyle \left[0,\frac{\pi}{2}\right) \cup \left(\frac{\pi}{2} , \pi\right]$

get an angle co-terminal with $\displaystyle \theta = -\frac{9\pi}{7}$ that is in the range of the inverse secant function ...

$\displaystyle \sec\left(-\frac{9\pi}{7}\right) = \sec\left(\frac{5\pi}{7}\right)$

$\displaystyle arcsec\left[\sec\left(\frac{5\pi}{7}\right)\right] = \frac{5\pi}{7}$
thanks i think i got it now, my professor is so rush in this stuff