Summary
Sumario Trigonometría
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Fórmulas matemáticas de funciones trigonométricas (triángulos notables, razones trigonométricas, identidades trigonométricas)
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TRIGONOMETRÍAFÓRMULAS MATEMÁTICAS DE FUNCIONES TRIGONOMÉTRICAS
B
n = número de vueltas completas
A es de la forma: 2nπ 90° = π/2
B es de la forma: (4n + 1) π/2 180° = π
A A’ es de la forma: (2n + 1) π 270° = 3π/2
A’
B’ es de la forma: (4n + 3) π/2 360° = 2π
B
’
↳ Triángulos notables
↳ Razones trigonométricas
Cateto opuesto = CO
Cateto adyacente = CA
Hipotenusa = H
Sen(x) = CO/ H
Cos(x) = CA/H
Tan(x) = CO/CA
Csc(x) = H/CO
Sec(x) = H/CA
Cot(x) = CA/CO
↳ Identidades trigonométricas de un variable
I. T. Recíprocas I. T. Pitágoras
↳ Sen(x) . Csc(x) = 1 → Csc(x) = 1/Sen(x) ↳ Sen2(x) + Cos2(x) = 1
↳ Cos(x) . Sec(x) = 1 → Sec(x) = 1/Cos(x) ↳ Sec2(x) - Tan2(x) = 1
↳ Tan(x) . Ctg(x) = 1 → Cot(x) = 1/Tan(x) ↳ Csc2(x) - Cot2(x) = 1
I. T. Complementarios I. T. Auxiliares
↳ Sen(x) = Cos(y) ↳ Tan(x) + Cot(x) = Sec(x) . Csc(x)
↳ Tan(x) = Ctg(y) x + y = 90° ↳ Sec2(x) + Csc2(x) = Sec2(x) . Csc2(x)
↳ Sec(x) = Csc(y) ↳ Sen4(x) + Cos4(x) = 1 – 2Sen2(x) . Cos2(x)
I. T. por división ↳ Sen6(x) + Cos6(x) = 1 – 3Sen2(x) . Cos2(x)
↳ Tan(x) = Sen(x) ↳ (1 ± Sen(x) ± Cos(x))2 = 2(1 ± Sen(x)) (1 ± Cos(x))
Cos(x) ↳ Sec(x) + Tan(x) = n → Sec(x) – Tan(x) = 1/n
↳ Cot(x) = Cos(x) ↳ Csc(x) + Ctg(x) = m → Csc(x) – Ctg(x) = 1/m
Sen(x)
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