Hour of Math · SS2 · Unit FMP17

Double Angles

Derive sin2A, cos2A (all three forms) and tan2A by putting B = A in the compound-angle formulas, apply them to a ratio of 2A given a ratio of A, use the double-angle formula backwards to find an exact half-angle ratio by solving a quadratic, and simplify a mixed theta/2theta expression to one function.

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