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

Answer:

Follows are the solution to this question:

Step-by-step explanation:

In point a:

$\to \frac{5 \pi }{6}$

calculating a positive coterminal angle:

$\to \frac{5 \pi }{6} + 2 \pi \\\\ \to \frac{5 \pi +12 \pi }{6} \\\\ \to \frac{17 \pi }{6}$

calculating negative coterminal angle:

$\to \frac{5 \pi }{6} -2\pi \\\\ \to \frac{5 \pi - 12 \pi }{6} \\\\ \to \frac{ - 7 \pi }{6}$

In point b:

$\to \frac{-9 \pi }{4}$

calculating a positive coterminal angle:

$\to \frac{ -9 \pi }{4} + 2 \pi \ \ = \frac{-9 \pi + 8 \pi }{4}$

$\to \frac{ - \pi }{4} + 2 \pi \ \ = \frac{- \pi + 8 \pi }{4}$

$= \frac{ 7 \pi}{4}$

calculating a negative coterminal angle:

$\to \frac{ -9 \pi }{4} - 2 \pi \\\\ \to \frac{-9 \pi - 8 \pi }{4} \\\\ \to \frac{-17 \pi }{4}$