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Determine the angle between 0 and 2π that is coterminal with quantity 14 times pi end quantity over 3 period

pi over 3
quantity 2 times pi end quantity over 3
quantity 4 times pi end quantity over 3
quantity 8 times pi end quantity over 3

Sagot :

abidemiokin

The angle between 0 and 2π is expressed as  [tex]\frac{2 \pi}{3}[/tex]

Terminal angle

Given  the coterminal angle with quantity [tex]\frac{14 \pi}{3}[/tex]

The equivalent angles can be gotten by subtracting 2π from the coterminal angle as shown:

  • [tex]\frac{14 \pi}{3} - 2 \pi = \frac{14 \pi - 6 \pi}{3} =\frac{8 \pi}{3}[/tex]

Further, subtract 2π from both sides:

  • [tex]\frac{8 \pi}{3} - 2 \pi = \frac{8 \pi - 6 \pi}{3} =\frac{2 \pi}{3}[/tex]

Hence the angle between 0 and 2π is expressed as  [tex]\frac{2 \pi}{3}[/tex]

Learn more on angles here: https://brainly.com/question/19573972

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