# How do you find the quadrants in which the terminal side of #theta# must lie given #sintheta# is negative and #tan theta# is positive?

##### 1 Answer

Mar 5, 2018

**III**

#### Explanation:

We know:

The hypotenuse is always positive by definition:

i.e. The square on the hypotenuse is equal to the sum of the squares of the other two sides. The square of a number is always positive.

If

If this is positive then the adjacent side must be negative.

i.e

So we have both negative x values and negative y values. This must therefore be in the **III** quadrant.