# Math Help - cos(theta) = 1/ sec(theta) - why does my book not just say true?

1. ## cos(theta) = 1/ sec(theta) - why does my book not just say true?

my book says "All (theta) except (theta) = (pi)/2 + (pi)n"

The book asks me to find all solutions for the equation.

2. ## Re: cos(theta) = 1/ sec(theta) - why does my book not just say true?

Wat about $\sec(\theta)=0$?

3. ## Re: cos(theta) = 1/ sec(theta) - why does my book not just say true?

Is the answer because there are vertical asymptotes on the (pi)/2 + (pi)n period?

4. ## Re: cos(theta) = 1/ sec(theta) - why does my book not just say true?

Originally Posted by dangsos
Is the answer because there are vertical asymptotes on the (pi)/2 + (pi)n period?
Yep. They occur when $\cos(\theta) = 0$