Question

Find an angle

θ
θ coterminal to
101
3
∘
1013
∘
, where
0
∘
≤
θ
<
36
0
∘
0
∘
≤θ<360
∘
.

Answer 1

Explanation:

To find an angle θ coterminal to 1013 degrees where 0° ≤ θ < 360°, we can add or subtract multiples of 360° until we get an angle in the desired range.

First, we can subtract 360° from 1013°:

1013° - 360° = 653°

Now we have an angle that is coterminal to 1013°, but it is still not in the desired range. To get an angle in the range of 0° to 360°, we can subtract another 360°:

653° - 360° = 293°

Therefore, an angle coterminal to 1013° that is between 0° and 360° is 293°.