Question

The point P(x, y) is on the terminal ray of angle Theta. If Theta is between Pi radians and StartFraction 3 pi Over 2 EndFraction radians and = Negative five-halves, what are the coordinates of P(x, y)?
P(Negative StartRoot 21 EndRoot, –2)
P (StartRoot 21 EndRoot, –2)
P(–2, StartRoot 21 EndRoot)
P(–2, Negative StartRoot 21 EndRoot)

Answer 1

The coordinates of P(x, y) is: A. P(Negative StartRoot 21 EndRoot, –2)

Coordinates of P(x, y)

Given:

Radians=3π/2

theta=-5/2

Hence:

Hypotenuse = - 5

Altitude = 2

Using  Pythagorean theorem

Hypotenuse² =  Altitude² + Base²

-5²= 2²  + Base²

25 ² - 4 ² = Base²

Base = √21

Thus P(x,y) :

= P(-√21 : -2)

Therefore the correct option is A.

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