Given:
The given angles are 25 degrees, 112 degrees, and 290 degrees.
Required:
We need to find one positive and one negative coterminal angle to each given angle.
Step-by-step explanation:
Simply add or subtract 360 degrees of the terminal angle as many times as possible to find the coterminal angle.
1) 25 degrees
Add 360 degrees to the given angle.
Subtract 360 degrees from the given angle.
2) 112 degrees.
Add 360 degrees to the given angle.
Subtract 360 degrees from the given angle.
3) 290 degrees.
Add 360 degrees to the given angle.
Subtract 360 degrees from the given angle.
Final answer:
1) 25 degrees
The positive coterminal = 385 degrees.
The negative coterminal = -335 degrees.
2) 112 degrees
The positive coterminal = 472 degrees.
The negative coterminal = -248 degrees.
3) 290 degrees
The positive coterminal = 650 degrees.
The negative coterminal = -70 degrees.