Question

Let (-3,2) be a point on the terminal side of θ .


Find the exact values of sin θ, csc θ, and cot θ

Answer 1

sin theta = opp/hyp
csc theta = hyp/opp or reciprocal of sin
cot theta = opp/adj

to find the hyp - (-3)^2 + (2)^2 = c^2
9 + 4 = c^2
sqrt(13) = c

sin = 2/sqrt(13) = 2sqrt(13)/13
csc = sqrt(13)/2
cot = -2/3