Question

find an angle between 0° and 360° that is coterminal with the given angle. 482° is coterminal to -283° is coterminal to -1758° is coterminal to 11411° is coterminal to question help: video 1 video 2

Explanation:

Step1: Subtract 360° from 482°

$482^\circ - 360^\circ = 122^\circ$

Step2: Add 360° to -283°

$-283^\circ + 360^\circ = 77^\circ$

Step3: Divide 1758 by 360, find remainder

$1758 \div 360 = 4$ remainder $318$, so $-1758^\circ + 5 \times 360^\circ = -1758 + 1800 = 42^\circ$

Step4: Divide 11411 by 360, find remainder

$360 \times 31 = 11160$, $11411 - 11160 = 251^\circ$

Answer:

122
77
42
251