Question

question 6
find an angle between 0° and 360° that is coterminal with the given angle.
640° is coterminal to
-356° is coterminal to
-512° is coterminal to
4301° is coterminal to
question help: video 1 video 2

Explanation:

Step1: Find coterminal angle for \(640^{\circ}\)

Subtract \(360^{\circ}\) from \(640^{\circ}\): \(640 - 360=280^{\circ}\)

Step2: Find coterminal angle for \(- 356^{\circ}\)

Add \(360^{\circ}\) to \(-356^{\circ}\): \(-356 + 360 = 4^{\circ}\)

Step3: Find coterminal angle for \(-512^{\circ}\)

First, add \(360^{\circ}\) to \(-512^{\circ}\): \(-512+360=-152^{\circ}\). Then add \(360^{\circ}\) again: \(-152 + 360=208^{\circ}\)

Step4: Find coterminal angle for \(4301^{\circ}\)

Divide \(4301\) by \(360\): \(4301\div360 = 11\) (quotient) and \(341\) (remainder) (since \(4301=360\times11 + 341\)). So the coterminal angle is \(341^{\circ}\)

Answer:

\(280\), \(4\), \(208\), \(341\)