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Popular Trigonometría >

solvefor x,sin(x^2)+cos(y^3)=-2

Solución

resolver para

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

Solución

x = arcsin (- 2 - cos (y^{3})) + 2 πn, x = - arcsin (- 2 - cos (y^{3})) + 2 πn, x = π + arcsin (2 + cos (y^{3})) + 2 πn, x = - π + arcsin (2 + cos (y^{3})) + 2 πn

Pasos de solución

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

Desplace

cos (y^{3})

a la derecha

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

Restar

cos (y^{3})

de ambos lados

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

Simplificar

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

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

Aplicar propiedades trigonométricas inversas

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

Soluciones generales para

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

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

x^{2} = arcsin (- 2 - cos (y^{3})) + 2 πn, x^{2} = π + arcsin (2 + cos (y^{3})) + 2 πn

x^{2} = arcsin (- 2 - cos (y^{3})) + 2 πn, x^{2} = π + arcsin (2 + cos (y^{3})) + 2 πn

Resolver

x^{2} = arcsin (- 2 - cos (y^{3})) + 2 πn : x = arcsin (- 2 - cos (y^{3})) + 2 πn, x = - arcsin (- 2 - cos (y^{3})) + 2 πn

x^{2} = arcsin (- 2 - cos (y^{3})) + 2 πn

Para

x^{2} = f (a)

las soluciones son

x = f (a), - f (a)

x = arcsin (- 2 - cos (y^{3})) + 2 πn, x = - arcsin (- 2 - cos (y^{3})) + 2 πn

Resolver

x^{2} = π + arcsin (2 + cos (y^{3})) + 2 πn : x = π + arcsin (2 + cos (y^{3})) + 2 πn, x = - π + arcsin (2 + cos (y^{3})) + 2 πn

x^{2} = π + arcsin (2 + cos (y^{3})) + 2 πn

Para

x^{2} = f (a)

las soluciones son

x = f (a), - f (a)

x = π + arcsin (2 + cos (y^{3})) + 2 πn, x = - π + arcsin (2 + cos (y^{3})) + 2 πn

x = arcsin (- 2 - cos (y^{3})) + 2 πn, x = - arcsin (- 2 - cos (y^{3})) + 2 πn, x = π + arcsin (2 + cos (y^{3})) + 2 πn, x = - π + arcsin (2 + cos (y^{3})) + 2 πn

Gráfica

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