anonymous
  • anonymous
An acute angle θ is in a right triangle with sin θ =2/3 . What is the value of cot θ?
Trigonometry
chestercat
  • chestercat
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anonymous
  • anonymous
|dw:1358483754179:dw|
anonymous
  • anonymous
find the third side by pythagoras, you get \(\sqrt{3^2-2^2}=\sqrt{5}\) then use "adjacent over opposite"
campbell_st
  • 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 \[\cot(\theta)\]

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