In what quadrant does the terminal side of an angle of 11 radians lie? In what quadrant does the terminal side of an angle of 11◦ lie?

1 Answer
Feb 21, 2018

#11^c# Falls in the #IV# quadrant

#11^@# falls in I quadrant

Explanation:

Conversion factor between radians to degrees

#pi^c = 180^@#

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(a) #11^c = ((11 * 180) / pi)^@ = 1980 / pi = 630.2536^@#

#=> 630.2536 - 360 = 270.2536^@#

#=> 270.2536 / 90 = 3 (0.2536/90)# (divided by #90^@# as each quadrant accounts #90^@#

#11^c# Falls in the #IV# quadrant

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(b) #11^@# falls in I quadrant as it is less than #90^@#