Question

Determine two coterminal angles (one positive and one negative) for each angle. Give your answers in radians. (Enter your answers as a comma-separated list.) (a) 5π/6 (b) − 9π/4

Answer 1

Follows are the solution to this question:

Explanation:

In point a:

`\to (5 \pi )/(6)`

calculating a positive coterminal angle:

`\to (5 \pi )/(6) + 2 \pi \\\\ \to (5 \pi +12 \pi )/(6) \\\\ \to (17 \pi )/(6) \\\\`

calculating negative coterminal angle:

`\to (5 \pi )/(6) -2\pi \\\\ \to (5 \pi - 12 \pi )/(6) \\\\ \to ( - 7 \pi )/(6) \\\\`

In point b:

`\to (-9 \pi )/(4)`

calculating a positive coterminal angle:

`\to ( -9 \pi )/(4) + 2 \pi \ \ = (-9 \pi + 8 \pi )/(4) \\\\`

`\to ( - \pi )/(4) + 2 \pi \ \ = (- \pi + 8 \pi )/(4) \\\\`

`= ( 7 \pi)/(4)`

calculating a negative coterminal angle:

`\to ( -9 \pi )/(4) - 2 \pi \\\\ \to (-9 \pi - 8 \pi )/(4) \\\\ \to (-17 \pi )/(4)`