Use the unit circle to find all values of thetabetween 0 and 2Ï€ for which sin(theta)=sqrt 3/2

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10-11-2017
Mathematics

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Use the unit circle to find all values of thetabetween 0 and 2Ï€ for which sin(theta)=sqrt 3/2

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tynollette tynollette · Answer 1 · 2017-11-10T06:36:18+01:00

tynollette tynollette

10-11-2017

sin(theta)=√3/2, 0≤theta≤360
In a unit circle, sin is y/r, r is always positive, y is positive in the first and second quadrant only.
sin60=√3/2, sin120=√3/2
so theta is 60 or 120

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