SIN CALCULADORA... CON LAS RAIZES Y EL PROCEDIMIENTO
tan(15) = tan(45-30) = (tan(45)-tan(30))/(1+tan(45)tan(30))
= (1-√3/3)/(1+1(√3/3)) = (3-√3)/(3+√3) × (3-√3)/(3-√3)
= (3-√3)³/(9-3) = (9-6√3+3)/6 = (12-6√3)/6 = 2-√3 ◄Respuesta.
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tan(15) = tan(45-30) = (tan(45)-tan(30))/(1+tan(45)tan(30))
= (1-√3/3)/(1+1(√3/3)) = (3-√3)/(3+√3) × (3-√3)/(3-√3)
= (3-√3)³/(9-3) = (9-6√3+3)/6 = (12-6√3)/6 = 2-√3 ◄Respuesta.