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Select all that are measures of angles that are coterminal with a –50° angle. –770° –530° –410° 50° 310° 360° 410° 670°

Respuesta :

amna04352

Answer:

-770, -410, 310, 670

Step-by-step explanation:

-50 + 360 = 310

310 + 360 = 670

-50 - 360 = -410

-410 - 360 = -770

lhannearaujo

For the angle -50°, from the given options, the coterminal angles are: -770°,-410°, 310° and 670°.

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.

You should replace w for integers numbers ≥ 1. Hence,

  • For w=1 and α=-50°

        β = -50± 360 * 1

         β = -50± 360

      Then, β can be -50+360=310° or -50-360= -410°

  • For w=2 and α=-50°

        β = -50± 360 * 2

         β = -50± 720

      Then, β can be -50+720=670° or -50-720= -770°

  • For w=3 and α=-50°

        β = -50± 360 * 3

         β = -50± 1080

      Then, β can be -50+1080=1030° or -50-1080= -1130°

Read more about the coterminal angles here:

https://brainly.com/question/19573972

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