How do you convert #-33^circ 45'# from degree to radians?

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Answer 1 · 2018-03-04T12:41:32

#color(green)(theta = (326(1/4) * 2pi) / 360 = 5.6941^c ~~1.8125pi^c#

radian = (degree / 360) * #2pi# #= (@ / 360) * 2pi#

Given #theta = -33^@ 45’ = 360^@ - 33^@ 45’ = 326^@ 15’#

#color(red)(theta# is in fourth quadrant as the angle is between #color(red)(270^@ & 360^@#

Measure of #theta # in radians

#color(green)(theta = (326(1/4) * 2pi) / 360 = 5.6941^c ~~1.8125pi^c#

Answer 2 · 2018-03-04T12:43:20

#color(green)(theta = 2pi - 0.589 = 5.6941^c ~~ 1.8125pi^c#

Alternate method :

#radian = (degree / 360) * #2pi# #= (@ / 360) * 2pi#

#theta = -(33^@ 45’ * 2pi) / 360 = -0.589^@#

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#color(green)(theta = 2pi - 0.589 = 5.6941^c ~~ 1.8125pi^c#