Question

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

Answer 1

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

Answer 2

you need to find the missing side in the right triangle using pythagoras' theorem



once you have found x then find \[\tan( \theta)\]

lastly talke the reciprocal to find

\[\cot(\theta)\]