30 points please help (a) Find an angle between 0 and 2π that is coterminal with −π2.
(b) Find an angle between 0° and 360° that is coterminal with 480°.

Respuesta :

The coterminal angles are given as follows:

a) 0º.

b) 120º.

What is the coterminal angle of a negative angle?

The coterminal angle of a negative angle between 0 and -360º = -2pi is found adding 360º = 2pi to the angle, hence:

-2pi + 2pi = 0, which is the answer to item a.

What is the coterminal angle of an angle greater than 360º?

The coterminal angle is found taking the remainder of the division of the angle by 360º.

The remainder of the division of 480º by 360º is of 120º, hence the coterminal angle of 480º is of 120º.

More can be learned about coterminal angles at https://brainly.com/question/23093580
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