darinsimon darinsimon
  • 23-07-2020
  • Mathematics
contestada

which of the following angles is coterminal with 5pi/3? pi/3, 2pi/3, 4pi/3, 5pi/3

Respuesta :

kollybaba55 kollybaba55
  • 26-07-2020

Answer:

5pi/3

Step-by-step explanation:

For two angles to be co-terminal, one must differ from the other by a multiple of 2pi.

The angle of consideration is 5pi/3

Let us consider the options one by one and see if they differ from the angle of consideration by a multiple of 2pi.

5pi/3 - pi/3 = 4pi/3

5pi/3 - 2pi/3 = 3pi/3 = pi

5pi/3 - 4pi/3 = pi/3

5pi/3 - 5pi/3 = 0 = 0(2pi)

5pi/3 is co-terminal with itself

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