If θ is an angle in standard position and its terminal side passes through the point (7,-8), find the exact value of

Question

csc
⁡
θ
cscθ in simplest radical form.

Answer 1

Your point (7,-8) is in quad IV, so x = 7, y = -8
r^2 = 49+64 = 113
r = √113

sinθ = y/r = -8/√113
cscθ = -√113/8