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Popular Trigonometría >

solvefor m,sec(m+12)=csc(42-n)

Solución

resolver para

m, sec (m + 1 2^{\circ}) = csc (4 2^{\circ} - n)

Solución

m = arcsec (csc (4 2^{\circ} - n)) + 36 0^{\circ} k - 1 2^{\circ}, m = - arcsec (csc (4 2^{\circ} - n)) + 36 0^{\circ} k - 1 2^{\circ}

+1

Radianes

m = arcsec (csc (\frac{7 π}{30} - n)) - \frac{π}{15} + 2 πk, m = - arcsec (csc (\frac{7 π}{30} - n)) - \frac{π}{15} + 2 πk

Pasos de solución

sec (m + 1 2^{\circ}) = csc (4 2^{\circ} - n)

Aplicar propiedades trigonométricas inversas

sec (m + \frac{π}{15}) = csc (\frac{7 π}{30} - n)

Soluciones generales para

sec (m + 1 2^{\circ}) = csc (4 2^{\circ} - n)

sec (x) = a \Rightarrow x = arcsec (a) + 36 0^{\circ} k, x = - arcsec (a) + 36 0^{\circ} k

m + \frac{π}{15} = arcsec (csc (\frac{7 π}{30} - n)) + 2 πk, m + \frac{π}{15} = - arcsec (csc (\frac{7 π}{30} - n)) + 2 πk

m + \frac{π}{15} = arcsec (csc (\frac{7 π}{30} - n)) + 2 πk, m + \frac{π}{15} = - arcsec (csc (\frac{7 π}{30} - n)) + 2 πk

Resolver

m + 1 2^{\circ} = arcsec (csc (4 2^{\circ} - n)) + 36 0^{\circ} k : m = arcsec (csc (4 2^{\circ} - n)) + 36 0^{\circ} k - 1 2^{\circ}

m + \frac{π}{15} = arcsec (csc (\frac{7 π}{30} - n)) + 2 πk

Desplace

1 2^{\circ}

a la derecha

m + \frac{π}{15} = arcsec (csc (\frac{7 π}{30} - n)) + 2 πk

Restar

1 2^{\circ}

de ambos lados

m + \frac{π}{15} - \frac{π}{15} = arcsec (csc (\frac{7 π}{30} - n)) + 2 πk - \frac{π}{15}

Simplificar

m = arcsec (csc (\frac{7 π}{30} - n)) + 2 πk - \frac{π}{15}

m = arcsec (csc (\frac{7 π}{30} - n)) + 2 πk - \frac{π}{15}

Resolver

m + 1 2^{\circ} = - arcsec (csc (4 2^{\circ} - n)) + 36 0^{\circ} k : m = - arcsec (csc (4 2^{\circ} - n)) + 36 0^{\circ} k - 1 2^{\circ}

m + \frac{π}{15} = - arcsec (csc (\frac{7 π}{30} - n)) + 2 πk

Desplace

1 2^{\circ}

a la derecha

m + \frac{π}{15} = - arcsec (csc (\frac{7 π}{30} - n)) + 2 πk

Restar

1 2^{\circ}

de ambos lados

m + \frac{π}{15} - \frac{π}{15} = - arcsec (csc (\frac{7 π}{30} - n)) + 2 πk - \frac{π}{15}

Simplificar

m = - arcsec (csc (\frac{7 π}{30} - n)) + 2 πk - \frac{π}{15}

m = - arcsec (csc (\frac{7 π}{30} - n)) + 2 πk - \frac{π}{15}

m = arcsec (csc (4 2^{\circ} - n)) + 36 0^{\circ} k - 1 2^{\circ}, m = - arcsec (csc (4 2^{\circ} - n)) + 36 0^{\circ} k - 1 2^{\circ}

Gráfica

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