Question

standard 13 homework
score: 8/27 answered: 7/22
question 8
for each of the given angles, find a coterminal angle between 0° and 360°.
476° is coterminal to
-287° is coterminal to
850° is coterminal to
854° is coterminal to
question help: video 1 video 2

Explanation:

Step1: Find coterminal angle for \(476^{\circ}\)

Subtract \(360^{\circ}\) from \(476^{\circ}\): \(476 - 360=116^{\circ}\)

Step2: Find coterminal angle for \(- 287^{\circ}\)

Add \(360^{\circ}\) to \(-287^{\circ}\): \(-287 + 360 = 73^{\circ}\)

Step3: Find coterminal angle for \(850^{\circ}\)

First, \(850\div360 = 2\) (quotient) and \(850-2\times360=850 - 720 = 130^{\circ}\)

Step4: Find coterminal angle for \(854^{\circ}\)

\(854\div360=2\) (quotient) and \(854 - 2\times360=854-720 = 134^{\circ}\)

Answer:

\(116^{\circ}\), \(73^{\circ}\), \(130^{\circ}\), \(134^{\circ}\)