# Thread: Cot is undefined and Sec is negative...

1. ## Cot is undefined and Sec is negative...

I have a problem that is telling me to find
$\displaystyle \cos{\theta}$ and $\displaystyle \tan{\theta}$ by using the given information to construct a reference triangle.

It gives me: $\displaystyle \cot{\theta}$ is undefined and $\displaystyle \sec{\theta}$ is negative.

I know because secant is negative that it can only be in quadrants 2 or 3. I do not know what to do from here...thanks!

2. Originally Posted by LoveBeachForever
I have a problem that is telling me to find
$\displaystyle \cos{\theta}$ and $\displaystyle \tan{\theta}$ by using the given information to construct a reference triangle.

It gives me: $\displaystyle \cot{\theta}$ is undefined and $\displaystyle \sec{\theta}$ is negative.

I know because secant is negative that it can only be in quadrants 2 or 3. I do not know what to do from here...thanks!
If $\displaystyle \cot{\theta}$ is undefined, then $\displaystyle \sin{\theta} = 0$.

Since it must be in quadrant 2 or 3 (or in this case, right between), $\displaystyle \theta = \pi$.