The terminal side of theta lies on a given line in the specified quadrant. Find the values of the six trigonometric functions of theta by finding a point on the line.

Question

y= -3/2x in quadrant 4

Answer 1

let x=2, then y = (-3/2)(2) = -3
then r^2 = 2^2 + (-3)^2 = 13
r = √13

sinØ = -3/√13 , cscØ = -√13/3
cosØ = 2/√13 , secØ = √13/2
tanØ = -3/2 , cotØ = -2/3

Answer 2

If sec⁡θ=√13/3 and the terminal side of θ lies in quadrant IV, find sin⁡θ.