Question

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

Answer 1

now by using pythagoras theorem find the third side

Answer 2

9+4=13

Answer 3

let's say third side is x then x=\[\sqrt{3^2-2^2}\]

Answer 4

x=\[\sqrt{5}\]

Answer 5

and then

Answer 6

then cot theta= base/perpendicular= \[\sqrt{5}/2\]

Answer 7

lifesaver !!

Answer 8

i guess !! by the way according to pythagoras theorem 3^2= 2^2+sqrt5^2