Answer:
The angle is of 600º.
Explanation:
Angle of -60:
An anle of -60 is the same as an angle of -60 + 360 = 300º, which is in the fourth quadrant. In the fourth quadrant, just like in the third, the sine is negative.
Equivalent of an angle of 300º in the third quadrant:
The equivalent of an angle of 300º in the third quadrant(between 180 and 270) is given by: 270 - (300 - 270) = 270 - 30 = 240º. That is, they have the same sine.
Angle between 450 and 630:
This is on the second lap of the trigonometric circle, that is, we take the original measures and add 360º(length of a lap). So
240 + 360 = 600º
The angle is of 600º.