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Popular Trigonometria >

0.26=sin(0.25pit)

Solução

0.26 = sin (0.25 π t)

Solução

t = \frac{0.26302 \dots}{0.25 π} + \frac{2 n}{0.25}, t = \frac{1}{0.25} - \frac{0.26302 \dots}{0.25 π} + \frac{2 n}{0.25}

+1

Graus

t = 19.18779 \dots^{\circ} + 458.36623 \dots^{\circ} n, t = 209.99531 \dots^{\circ} + 458.36623 \dots^{\circ} n

Passos da solução

0.26 = sin (0.25 π t)

Trocar lados

sin (0.25 π t) = 0.26

Aplique as propriedades trigonométricas inversas

sin (0.25 π t) = 0.26

Soluções gerais para

sin (0.25 π t) = 0.26

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

0.25 π t = arcsin (0.26) + 2 πn, 0.25 π t = π - arcsin (0.26) + 2 πn

0.25 π t = arcsin (0.26) + 2 πn, 0.25 π t = π - arcsin (0.26) + 2 πn

Resolver

0.25 π t = arcsin (0.26) + 2 πn : t = \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 n}{0.25}

0.25 π t = arcsin (0.26) + 2 πn

Dividir ambos os lados por

0.25 π

0.25 π t = arcsin (0.26) + 2 πn

Dividir ambos os lados por

0.25 π

\frac{0.25 π t}{0.25 π} = \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 πn}{0.25 π}

Simplificar

t = \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 n}{0.25}

t = \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 n}{0.25}

Resolver

0.25 π t = π - arcsin (0.26) + 2 πn : t = \frac{1}{0.25} - \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 n}{0.25}

0.25 π t = π - arcsin (0.26) + 2 πn

Dividir ambos os lados por

0.25 π

0.25 π t = π - arcsin (0.26) + 2 πn

Dividir ambos os lados por

0.25 π

\frac{0.25 π t}{0.25 π} = \frac{π}{0.25 π} - \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 πn}{0.25 π}

Simplificar

\frac{0.25 π t}{0.25 π} = \frac{π}{0.25 π} - \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 πn}{0.25 π}

Simplificar

\frac{0.25 π t}{0.25 π} : t

\frac{0.25 π t}{0.25 π}

Eliminar o fator comum:

0.25

= \frac{π t}{π}

Eliminar o fator comum:

π

= t

Simplificar

\frac{π}{0.25 π} - \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 πn}{0.25 π} : \frac{1}{0.25} - \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 n}{0.25}

\frac{π}{0.25 π} - \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 πn}{0.25 π}

Cancelar

\frac{π}{0.25 π} : \frac{1}{0.25}

\frac{π}{0.25 π}

Eliminar o fator comum:

π

= \frac{1}{0.25}

= \frac{1}{0.25} - \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 πn}{0.25 π}

Cancelar

\frac{2 πn}{0.25 π} : \frac{2 n}{0.25}

\frac{2 πn}{0.25 π}

Eliminar o fator comum:

π

= \frac{2 n}{0.25}

= \frac{1}{0.25} - \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 n}{0.25}

t = \frac{1}{0.25} - \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 n}{0.25}

t = \frac{1}{0.25} - \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 n}{0.25}

t = \frac{1}{0.25} - \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 n}{0.25}

t = \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 n}{0.25}, t = \frac{1}{0.25} - \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 n}{0.25}

Mostrar soluções na forma decimal

t = \frac{0.26302 \dots}{0.25 π} + \frac{2 n}{0.25}, t = \frac{1}{0.25} - \frac{0.26302 \dots}{0.25 π} + \frac{2 n}{0.25}

Gráfico

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