Surds in Trigonometry — The Capstone

Build the exact surd values of sin, cos, and tan for $30°$, $45°$, and $60°$ from the 45-45-90 and 30-60-90 triangles, state the exact-value table, simplify and rationalise trigonometric expressions involving surds, and solve right-triangle problems leaving the answer in exact surd form.

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