Question

Find the angle between 450 and 630 that has the same sine as -60

Answer 1

Answer:

The angle is of 600º.

Step-by-step 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.