Trig rules. Did'ya memorize the half-angle formulae or will you need to derive them?

Difficulty: Easy if memorized. Difficult, if not..

Difficulty: Pretty easy, if you draw the diagram correctly from the description.

Standard instructions for this series: No calculator allowed. Express answers in reduced form. Rationalize denominators. Radicals must be reduced. All numbers are base ten unless otherwise specified. Do not approximate radicals or π. Leave such answers as 1025π or √39, for example. Source: UVM Math Contest

answer 16 and answer 26.

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