contestada

Which angle is coterminal with a 120° angle?


A. An angle measuring 300°

B. An angle measuring-120°

C. An angle measuring 470°

D. An angle measuring 480°

Respuesta :

lhannearaujo

An angle measuring 480° is coterminal with a 120° angle.

Coterminal angles

This classification represents angles that do not present the same value, but they present vertices and sides are identical. Also, if the angles are coterminal, then their sines, cosines and tangents are equal.

A coterminal angle can be found from the formula β = α ± 360 * w, where w is a positive integer.

Thus,

  • For w=1 and α=120°

        β = 120 ± 360 * 1

        β = 120 ± 360

       Then, β can be 120+360=480° or 120-360= -240°

  • For w=2 and α=120°

        β = 120 ± 360 * 2

        β = 120 ± 720

       Then, β can be 120+720=840° or 120-720= -600°

       Therefore, the answer to this question is option D.

Read more about the coterminal angles here:

https://brainly.com/question/19573972

Otras preguntas