1. Check the picture attached.
2. m(AOB)=2x as it is a central angle, intercepting the same arc (AB) as ACB.
3. AO=OB=1, as they are radii of the unit circle.
4. From the cosine theorem:
[tex] AB^{2} =AC^{2} + BC^{2} -2*AC*BC*cos C[/tex]
substituting the known values:
[tex]AB^{2} =1^{2} + 1^{2} -2*1*1*cos x[/tex]
[tex]AB^{2} =2 -2*cos x=2(1-cosx)[/tex]
[tex]AB= \sqrt{2(1-cosx)} [/tex]
