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442sin(x/2)+sqrt(3)=0sin(x/2)=-sqrt(3)/2general solutions for sin(x/2)=-sqrt(3)/2 areRadians: x/2=4pi/3+2pi*nx/2=5pi/3+2pi*nsolve for xx=8pi/3+8pi*nx=10pi/3+4pi*nDegrees:x=480° +720°*nx=600° +720°*n46tan(x/2)+sqrt(3)=0tan(x/2)=-sqrt(3)general solution for tan(x/2)=-sqrt(3) is:Radians: x/2= 2pi/3+pi* nx= 4pi/3+2pi* nDegrees:x=240°+360°*n
44
2sin(x/2)+sqrt(3)=0
sin(x/2)=-sqrt(3)/2
general solutions for sin(x/2)=-sqrt(3)/2 are
Radians:
x/2=4pi/3+2pi*n
x/2=5pi/3+2pi*n
solve for x
x=8pi/3+8pi*n
x=10pi/3+4pi*n
Degrees:
x=480° +720°*n
x=600° +720°*n
46
tan(x/2)+sqrt(3)=0
tan(x/2)=-sqrt(3)
general solution for tan(x/2)=-sqrt(3) is:
x/2= 2pi/3+pi* n
x= 4pi/3+2pi* n
x=240°+360°*n