Question

If cos theta = -5/13 and sin theta > 0, then tan theta is ?

Answer 1

From sin theta> 0, we can draw out a graph to see where it might be. Sin theta is y/r where r is the radius. The r (radius) must be positive because distance is never negative. If sin theta>0, that means y cannot be negative or else sin theta will be negative. Therefore, our "triangle" is either in quadrant I or II

Answer 2

Then, we know that cos theta is x/r, where r is the radius. Then, we can determine the length and xcor of the outreaching point Also, we can determine the remaining side by using Pythagorean theorum. Now, you input the values for tan theta to get your answer.