The point P(x, y) is on the terminal ray of angle theta. If theta is between pi radians and 3pi/2 radians and csc theta= -5/2, what are the coordinates of P(x, y)?
A. P(-sqr 21, -2)
B. P(sqr 21, -2)
C. P(-2, sqr 21)
D. P(-2, -sqr 21)
If the opposite side measures 2 ---- [this is the y-component, except for the sign]
hypotenuse measures 5, and the adyacent side is √(5^2 - 2^2) = √(25 - 4) = √21 ---- [this is the x-component, except for the sign].
To assign the sign, we know that the quadrant between pi radians and 3Pi/2 radians is the third quadrant, where both the x-component and the y-component are negative.
