## anonymous 4 years ago An acute angle θ is in a right triangle with sin θ =2/3 . What is the value of cot θ?

1. anonymous

|dw:1358483754179:dw|

2. anonymous

find the third side by pythagoras, you get $$\sqrt{3^2-2^2}=\sqrt{5}$$ then use "adjacent over opposite"

3. campbell_st

you need to find the missing side in the right triangle using pythagoras' theorem |dw:1358483748710:dw| once you have found x then find $\tan( \theta)$ lastly talke the reciprocal to find $\cot(\theta)$