Atriangle abc is inscribed within the unit circle. let x be the measure of the angle c. express the length of ab in terms of x.

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:



substituting the known values:

1.17+3.99a. you combine the terms with a to create 3.99 and the 1.17 stays because it has no like terms or a variable