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

Question

campbell_st · Answer

well using the information then tan = -2/9

so draw a diagram 

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anonymous · Answer

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

campbell_st · Answer

I'd use sqrt85

that way you have an exact value.... now you can get the sin of theta... opp/hyp

anonymous · Answer

sin of theta = 2/9.2

anonymous · Answer

2/ sqrt85

campbell_st · Answer

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

anonymous · Answer

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

anonymous · Answer

|dw:1403641221648:dw|  how do you know to put it that way instead of this way

campbell_st · Answer

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