Question

a) Determine the quadrant in which the angle lies, and

Negative numbers and coordinate plane
ANSWERED
asked 2021-08-17
a) Determine the quadrant in which the angle lies, and
(b) list one positive and one negative coterminal \(\displaystyle\angle−{5}\frac{\pi}{{6}}\)​.

Expert Answers (1)

2021-08-18

a) Quadrant 3
b) We find coterminals of \(\displaystyleθ\) by adding or subtracting integer multiples of \(\displaystyle{2}\pi\):
\(\displaystyleθ=-{5}\frac{\pi}{{6}}+{2}\pi={7}\frac{\pi}{{6}}\) - positive
\(\displaystyleθ=-{5}\frac{\pi}{{6}}–{2}\pi=-{17}\frac{\pi}{{6}}\) - negative
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