Question

if cot of theta = -9/2 with theta in Quadrant 2, find the sin of theta

Answer 1

well using the information then tan = -2/9

so draw a diagram

Answer 2

4+81=h^2 h=9.2 or h=sqrt85

Answer 3

I'd use sqrt85

that way you have an exact value.... now you can get the sin of theta... opp/hyp

Answer 4

sin of theta = 2/9.2

Answer 5

2/ sqrt85

Answer 6

yes... I'd use the 2nd answer.... rather than the decimal

Answer 7

ok thank you i was just wondering though how did you know witch way to face your triangle when you put in the quadrant

Answer 8

how do you know to put it that way instead of this way

Answer 9

ok.... well there is a standard from.... 2nd quadrant is always 180 - theta

they look like