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solvefor x,sin(x^e)+cos(y^e)=1

Solución

resolver para

x, sin (x^{e}) + cos (y^{e}) = 1

Solución

x = (arcsin (1 - cos (y^{e})) + 2 πn)^{\frac{9545}{25946}}, x = (π + arcsin (- 1 + cos (y^{e})) + 2 πn)^{\frac{9545}{25946}}

Pasos de solución

sin (x^{e}) + cos (y^{e}) = 1

Mover

cos (y^{e})

al lado derecho

sin (x^{e}) + cos (y^{e}) = 1

Restar

cos (y^{e})

de ambos lados

sin (x^{e}) + cos (y^{e}) - cos (y^{e}) = 1 - cos (y^{e})

Simplificar

sin (x^{e}) = 1 - cos (y^{e})

sin (x^{e}) = 1 - cos (y^{e})

Aplicar propiedades trigonométricas inversas

sin (x^{e}) = 1 - cos (y^{e})

Soluciones generales para

sin (x^{e}) = 1 - cos (y^{e})

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π + arcsin (a) + 2 πn

x^{e} = arcsin (1 - cos (y^{e})) + 2 πn, x^{e} = π + arcsin (- 1 + cos (y^{e})) + 2 πn

x^{e} = arcsin (1 - cos (y^{e})) + 2 πn, x^{e} = π + arcsin (- 1 + cos (y^{e})) + 2 πn

Resolver

x^{e} = arcsin (1 - cos (y^{e})) + 2 πn : x = (arcsin (1 - cos (y^{e})) + 2 πn)^{\frac{9545}{25946}}

x^{e} = arcsin (1 - cos (y^{e})) + 2 πn

Elevar ambos lados de la ecuación a la potencia

\frac{9545}{25946} : x = (arcsin (1 - cos (y^{e})) + 2 πn)^{\frac{9545}{25946}}

x^{e} = arcsin (1 - cos (y^{e})) + 2 πn

(x^{e})^{\frac{9545}{25946}} = (arcsin (1 - cos (y^{e})) + 2 πn)^{\frac{9545}{25946}}

x = (arcsin (1 - cos (y^{e})) + 2 πn)^{\frac{9545}{25946}}

x = (arcsin (1 - cos (y^{e})) + 2 πn)^{\frac{9545}{25946}}

Resolver

x^{e} = π + arcsin (- 1 + cos (y^{e})) + 2 πn : x = (π + arcsin (- 1 + cos (y^{e})) + 2 πn)^{\frac{9545}{25946}}

x^{e} = π + arcsin (- 1 + cos (y^{e})) + 2 πn

Elevar ambos lados de la ecuación a la potencia

\frac{9545}{25946} : x = (π + arcsin (- 1 + cos (y^{e})) + 2 πn)^{\frac{9545}{25946}}

x^{e} = π + arcsin (- 1 + cos (y^{e})) + 2 πn

(x^{e})^{\frac{9545}{25946}} = (π + arcsin (- 1 + cos (y^{e})) + 2 πn)^{\frac{9545}{25946}}

x = (π + arcsin (- 1 + cos (y^{e})) + 2 πn)^{\frac{9545}{25946}}

x = (π + arcsin (- 1 + cos (y^{e})) + 2 πn)^{\frac{9545}{25946}}

x = (arcsin (1 - cos (y^{e})) + 2 πn)^{\frac{9545}{25946}}, x = (π + arcsin (- 1 + cos (y^{e})) + 2 πn)^{\frac{9545}{25946}}

Ejemplos populares

sin^2(x)+3cos(x)-1=2

sin^{2} (x) + 3 cos (x) - 1 = 2

cot^2(θ)-3csc(θ)+3=0

cot^{2} (θ) - 3 csc (θ) + 3 = 0

solvefor x,arctan(x)+arctan(y)= pi/2 resolver para

x, arctan (x) + arctan (y) = \frac{π}{2}

2sin(x)=2sin(2x)

2 sin (x) = 2 sin (2 x)

3 cos (2 x) - 1 = 0