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Popular >

solvefor x,z=sin(x^2+y^2)

Solución

resolver para

x, z = sin (x^{2} + y^{2})

Solución

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

Pasos de solución

z = sin (x^{2} + y^{2})

Intercambiar lados

sin (x^{2} + y^{2}) = z

Aplicar propiedades trigonométricas inversas

sin (x^{2} + y^{2}) = z

Soluciones generales para

sin (x^{2} + y^{2}) = z

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

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

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

Resolver

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

x^{2} + y^{2} = arcsin (z) + 2 πn

Desplace

y^{2}

a la derecha

x^{2} + y^{2} = arcsin (z) + 2 πn

Restar

y^{2}

de ambos lados

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

Simplificar

x^{2} = arcsin (z) + 2 πn - y^{2}

x^{2} = arcsin (z) + 2 πn - y^{2}

Para

x^{2} = f (a)

las soluciones son

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

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

Resolver

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

x^{2} + y^{2} = π + arcsin (- z) + 2 πn

Desplace

y^{2}

a la derecha

x^{2} + y^{2} = π + arcsin (- z) + 2 πn

Restar

y^{2}

de ambos lados

x^{2} + y^{2} - y^{2} = π + arcsin (- z) + 2 πn - y^{2}

Simplificar

x^{2} = π + arcsin (- z) + 2 πn - y^{2}

x^{2} = π + arcsin (- z) + 2 πn - y^{2}

Para

x^{2} = f (a)

las soluciones son

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

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

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

Gráfica

Ejemplos populares

- 2 = 2 cos (4 t)

tan (a) = \frac{4}{5}

tan(θ)=(78.48)/(196.2)

tan (θ) = \frac{78.48}{196.2}

sec^2(x)-tan(x)=1,0<= x<2pi

sec^{2} (x) - tan (x) = 1, 0 \leq x < 2 π

4sin^2(x)+4cos(x)=5

4 sin^{2} (x) + 4 cos (x) = 5