Using equivalent angles, the two angles between 0º and 360º that have the desired cotangent value are of:
c) 150º and 330º.
What are equivalent angles?
Each angle on the second, third and fourth quadrants will have an equivalent on the first quadrant.
In this problem, we want an angle with a cotangent of negative square root of 3.
- The cotangent of an angle is given by the cosine divided by the sine.
- In the first quadrant, the angle with the cotangent of square root of 3 is of 30º.
The cotangent is negative on the second and on the fourth quadrant.
- On the second quadrant, the equivalent angle is: 180 - 30 = 150º.
- On the fourth quadrant, the equivalent angle is: 360 - 30 = 330º.
Hence the correct option is given by:
c) 150º and 330º.
More can be learned about equivalent angles at https://brainly.com/question/24787111
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