8 A circle of radius 6 passes through the points \(( 0,0 )\) and \(( 0,10 )\).
8
- Sketch the two possible positions of the circle.
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Show that \(\tan ^ { 2 } 15 ^ { \circ }\) can be written in the form \(a + b \sqrt { 3 }\), where \(a\) and \(b\) are integers.
Fully justify your answer.
[0pt]
[3 marks]