Question

given tan theta = -4/3 and cos theta > 0 find sin theta

Answer 1

tan is negative in second and fourth quadrants
cos is positive in first and fourth quadrants
taking both conditions into account theta is in fourth quadrant where sine is negative

Answer 2

I was just wondering if someone would be willing to check my work? I ended up with -4/5 and have no clue if it's right but I think I did it correctly... If that makes sense.

Answer 3

tan theta=-4/3 implies sin theta is sin theta =-4/5

Answer 4

that is right

Answer 5

YESSSSSSSS!!! Thank you!!