Question

for each of the given angles, find a coterminal angle between 0° and 360°. 446° is coterminal to. -312° is coterminal to. 819° is coterminal to. 890° is coterminal to. question help: video 1 video 2 message instructor post to forum

Explanation:

Step1: Find coterminal angle for \(446^{\circ}\)

Subtract \(360^{\circ}\) from \(446^{\circ}\): \(446^{\circ}-360^{\circ} = 86^{\circ}\)

Step2: Find coterminal angle for \(-312^{\circ}\)

Add \(360^{\circ}\) to \(-312^{\circ}\): \(-312^{\circ}+360^{\circ}=48^{\circ}\)

Step3: Find coterminal angle for \(819^{\circ}\)

First, divide \(819\) by \(360\): \(819 = 2\times360+99\). So \(819^{\circ}-2\times360^{\circ}=99^{\circ}\)

Step4: Find coterminal angle for \(890^{\circ}\)

Divide \(890\) by \(360\): \(890 = 2\times360 + 170\). So \(890^{\circ}-2\times360^{\circ}=170^{\circ}\)

Answer:

\(86^{\circ}\)
\(48^{\circ}\)
\(99^{\circ}\)
\(170^{\circ}\)