Question

Given the unit circle what is the value for y

Answer 1

see the attached figure below to better understand the problem

Remember that in a unit circle the radius r=1

so

Applying the Pythagorean Theorem in the right triangle

`1^2=((1)/(2))^2+y^2`

Solve for y

`y^2=1-((1)/(4))`
`\begin{gathered} y^2=(3)/(4) \\ y=\frac{\sqrt[]{3}}{2} \\ \end{gathered}`