The question: In what quadrant does the terminal ray of the angle lie?
−5π/6 ------> quadrant 3
45π/ 7 --------> quadrant 1
−274 degrees ------> quadrant 1
478 degrees --------> quadrant 2
First one : -5pi/6 = -150 ....360 - 150 = 210 degrees..... Correct
Second one : 45pi/7 = 6 pi + 3pi/7 : Correct
Third : -274 degrees = 360 - 274 = 86 degrees ......Correct !!!
Last 478 - 360 = 118 degrees = 2nd Q ....Correct !!!!
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