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solvefor 45.6=arcsin((n^1)/(n^2)),n^1

Solución

resolver para

45.6 = arcsin (\frac{n ^{1}}{n ^{2}}), n^{1}

Solución

n^{1} = \emptyset n^{2}

Pasos de solución

45.6 = arcsin (\frac{n ^{1}}{n ^{2}})

Intercambiar lados

arcsin (\frac{n ^{1}}{n ^{2}}) = 45.6

Restar

45.6

de ambos lados

arcsin (\frac{n ^{1}}{n ^{2}}) - 45.6 = 0

Usando el método de sustitución

arcsin (\frac{n ^{1}}{n ^{2}}) - 45.6 = 0

Sea:

arcsin (\frac{n ^{1}}{n ^{2}}) = u

u - 45.6 = 0

u - 45.6 = 0 : u = 45.6

u - 45.6 = 0

Mover

45.6

al lado derecho

u - 45.6 = 0

Sumar

45.6

a ambos lados

u - 45.6 + 45.6 = 0 + 45.6

Simplificar

u = 45.6

u = 45.6

arcsin (\frac{n ^{1}}{n ^{2}}) = 45.6

Sustituir en la ecuación

u = arcsin (\frac{n ^{1}}{n ^{2}})

arcsin (\frac{n ^{1}}{n ^{2}}) = 45.6

arcsin (\frac{n ^{1}}{n ^{2}}) = 45.6

Sea:

u = \frac{n ^{1}}{n ^{2}}

arcsin (u) - 45.6 = 0

Mover

45.6

al lado derecho

arcsin (u) - 45.6 = 0

Sumar

45.6

a ambos lados

arcsin (u) - 45.6 + 45.6 = 0 + 45.6

Simplificar

arcsin (u) = 45.6

arcsin (u) = 45.6

- \frac{π}{2} \leq arcsin (x) \leq \frac{π}{2}

Sin soluci \overset{o}{ˊ} n

Sustituir en la ecuación

u = \frac{n ^{1}}{n ^{2}}

\frac{n ^{1}}{n ^{2}} = \emptyset : n^{1} = \emptyset n^{2}; n \neq = 0

\frac{n ^{1}}{n ^{2}} = \emptyset

Multiplicar ambos lados por

n^{2}

\frac{n ^{1}}{n ^{2}} = \emptyset

Multiplicar ambos lados por

n^{2}

\frac{n ^{1} n ^{2}}{n ^{2}} = \emptyset n^{2}; n \neq = 0

Simplificar

n^{1} = \emptyset n^{2}; n \neq = 0

n^{1} = \emptyset n^{2}; n \neq = 0

n^{1} = \emptyset n^{2}

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