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 $Q3$

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