Hello, xwrathbringerx!

Draw chordCode:* * * * * P * o * * * |* * * | * * θ * 2θ | * A o - - - - o - - - * o B * O Q * * * * * * * * * *

(a) Explain why

is inscribed in a semicircle. .Hence: .

In right triangle

Since

In right triangle(b) Find a similar expression for in terms of

Note that the radius is:(c) Explain why the coordinates of pt are:

Inscribed is measured by

Central is measured by

Hence: .

In right triangle

Therefore, the coordinates of are: .

Both are right triangles that have a common acute angle: .(d) Prove that: .

Therefore: .