The terminal ray of angle θ drawn in standard position passes through (1,−3) .
What is the value of cscθ ?
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(1, -3) = (x , y)
csc θ = r / y
r = sqrt (x^2 + y^2) = sqrt ( 1^2 + (-3)^2) = sqrt (10)
So
csc θ = sqrt (10) / - 3 = -sqrt (10) / 3