Answered

IDNLearn.com provides a collaborative environment for finding and sharing answers. Join our interactive Q&A platform to receive prompt and accurate responses from experienced professionals in various fields.

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 :

Abidemiokinidn

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

We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Your search for solutions ends at IDNLearn.com. Thank you for visiting, and we look forward to helping you again.