How do I do this? This is the only information given.
Possible answers:
(-1, 1)
(-1, square root of 3)
(square root of 3, -1)
(negative square root of 3, 1)
Which point gives you an arctangent for that angle?
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.
It's in the second quadrant, so you'll have a point of the form (-x, +y). This allows you to eliminate the last two choices.
Also, knowing that 45° is the reference angle for equal x & y distances, you can eliminate the first answer.
This means that all you have to do is to check the viability of the last answer.
DO these numbers match what you know about the 30-60-90 triangle formed?
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Which point gives you an arctangent for that angle?
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.
It's in the second quadrant, so you'll have a point of the form (-x, +y). This allows you to eliminate the last two choices.
Also, knowing that 45° is the reference angle for equal x & y distances, you can eliminate the first answer.
This means that all you have to do is to check the viability of the last answer.
DO these numbers match what you know about the 30-60-90 triangle formed?