First of all, draw -210° on the graph. In standard form (0, 360°), this is 360°-210°, or 150°: 30° above the negative-x axis.

You are watching: Choose the point on the terminal side of -210°

It's in the second quadrant, so you'll have actually a allude of the form (-x, +y). This enables you to remove the last 2 selections.

Also, discovering that 45° is the referral angle for equal x & y ranges, you deserve to get rid of the initially answer.

This implies that all you need to do is to check the viability of the last answer.

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