How do you sketch a right triangle corresponding to cottheta=3/2 and find the third side, then find the other five trigonometric functions?

1 Answer
Feb 27, 2018

trigonometry ratio

Explanation:

cotangent is reffer to as the inverse of tangent
i.e tan B = opp/ Adj then
cot B = 1/"Adj" = "Adj"/"opp"
therefore cot theta = 3/2 = "adj"/"opp"

adj = 3 and opp = 2

you can draw the triangle from there
then find the third side using pythagoras theorem
since the third side = hyp = x
therefore
hyp^2 = opp^2 + Adj^2

therefore #x^2 = 2^2 + 3^2

x^2 = 4 + 9

x^2 = 13
x =sqrt13