Question

A = (TanxCosx + CotxSenx)^2 – 1

Answer 1

Respuesta:

A = 2Sen(x)Cos(x)

A = Sen(2x)

Explicación paso a paso:

A = (Tan(x)Cos(x) + Cot(x)Sen(x))² – 1

A = (Cos(x)(Sen(x) / Cos(x)) + (Sen(x))(Cos(x) / Sen(x)))² – 1

A = (Sen(x) + Cos(x))² – 1

A = (Sen(x) + Cos(x))² – 1

Identidad trigonométrica   Sen²(x) + Cos²(x) = 1

A = (Sen(x) + Cos(x))² – (Sen²(x) + Cos²(x))

A = Sen²(x) + 2Sen(x)Cos(x) + Cos²(x) – (Sen²(x) + Cos²(x))

A = Sen²(x) + 2Sen(x)Cos(x) + Cos²(x) – Sen²(x) - Cos²(x)

A = 2Sen(x)Cos(x)

A = Sen(2x)