Math CentralQuandaries & Queries


Question from Evan, a student:

Could you please help me with this question...

Derive an expression for tan3x in terms of tanx


I assume that you know the fact that

multiple angle tan expression

Write tan(3x) as tan(2x + x) and then use the expression above to write tan(3x) in terms of tan(x) and tan(2x). Next write tan(2x) as tan(x + x) and use the expression above again to write tan(3x) in terms of tan(x). Simplify the expression.


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