csc(x) = 1/sin (x) = - 5/2 ⇒ sin (x) = - 2/5
sin(x) = opposite side / hypotenuse
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.
Then the point is (-√21,-2). This is option A.
