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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:


Radians:

 x/2= 2pi/3+pi* n

x= 4pi/3+2pi* n


Degrees:

x=240°+360°*n


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