Question

Find where the angle lies if the terminal arm passes through the following points.
(i) $\left(5,-7\right)$ (ii)$\left(-8,1\right)$ (iii) $\left(-3,-3\right)$ (iv) $\left(0,2\right)$

Answer 1

(i) The given point is (5, −7).
Here, x is positive and y is negative.
i.e., the terminal arm is in quadrant IV.
So, the angle lies in quadrant IV.

(ii) The given point is (−8, 1).
Here, x is negative and y is positive.
i.e., the terminal arm is in quadrant II.
So, the angle lies in quadrant II.

(iii) The given point is (−3, −3).
Here, both x and y are negative.
i.e., the terminal arm is in quadrant III.
So, the angle lies in quadrant III.

(iv) The given point is (0, 2).
Here, x is 0 and y is positive.
i.e., the terminal arm is on the positive Y- axis.
So, it is a quadrantal angle.