SOLUTION: if the angle theta is in the second quadrant, and sin of theta is 1/9, what is tan of theta?

Algebra ->  Trigonometry-basics -> SOLUTION: if the angle theta is in the second quadrant, and sin of theta is 1/9, what is tan of theta?      Log On


   



Question 806822: if the angle theta is in the second quadrant, and sin of theta is 1/9, what is tan of theta?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
if the angle theta is in the second quadrant, and sin of theta is 1/9, what is tan of theta?
***
cosx=-√(1-sin^2x)=√(1-1/81)=√(80/81)=√80/9
tanx=sinx/cosx=1/√80=√80/80=4√5/80=√5/20