How do you determine the quadrant in which #-2# radians lies?

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Answer 1 · 2017-04-22T12:45:10

#-2# radians lies in #Q3#

We know that

#Q1# is from #0# to #pi/2=1.5708# radians

#Q2# is from #pi/2=1.5708# to #pi=3.1416# radians

#Q3# is from #pi=3.1416# to #(3pi)/2=4.7124# radians and

#Q4# is from #(3pi)/2=4.7124# to #2pi=6.2832# radians

Now #-2# radians is equivalent to #-2+2pi=-2+6.2832=4.2832# radians

Hence #-2# radians lies in #Q3#