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Deriving tan(a + b) Using Euler’s Formula ✨ #MathShorts #eulerfsormula #tangentfunction
Using Euler’s formula, we can elegantly derive the addition formula for tangent: tan(a + b) = (tan a + tan b) / (1 – tan a tan b). We expand e^(i(a + b)) using cosine and sine, then simplify using complex multiplication and trigonometric identities. Another example of how complex numbers reveal real math truths.
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