
Daniel V.
asked 04/16/20how do you find a corresponding angle in the range of 0≤θ<2π
1 Expert Answer
Justin D. answered 04/17/20
I'm studying mechanical engineering at Kansas State University.
I'm assuming you are curious how to convert radians to degrees?
2pi radian is a full 360 degrees. Pi radian is 180 degrees. Now, we know that we can multiply anything by 1 and it will still be true. So let us say we have 6pi radian and we are wanting to know how many degrees that is. So, let us multiply it by 1, but in a unique way to cancel the radian units and leave us with degree units only.
6pi radian•(180 degrees/pi radians)
Notice we are multiplying the 6pi radian by 1 and that also the radians will cancel out and leave us with degrees only.
All of the pi cancel out and we are left with (6*180) degrees, or rather 1080 degrees.
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Mark M.
Corresponding angles are formed by two lines cut by a transversal. Review the wording of the problem.04/16/20