Question

Directions (Integrated Math 3): Give one positive and one negative coterminal angle to each given angle! Please solve for each one shown.

Answer 1

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.

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.

$25\degree+360\degree=385\degree$

Subtract 360 degrees from the given angle.

$25\degree-360\degree=-335\degree$

2) 112 degrees.

Add 360 degrees to the given angle.

$112\degree+360\degree=472\degree$

Subtract 360 degrees from the given angle.

$112\degree-360\degree=-248\degree$

3) 290 degrees.

Add 360 degrees to the given angle.

$290\degree+360\degree=650\degree$

Subtract 360 degrees from the given angle.

$290\degree-360\degree=-70\degree$

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.