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0.26=sin(0.25pit)

Solución

0.26 = sin (0.25 π t)

Solución

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

Grados

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

Pasos de solución

0.26 = sin (0.25 π t)

Intercambiar lados

sin (0.25 π t) = 0.26

Aplicar propiedades trigonométricas inversas

sin (0.25 π t) = 0.26

Soluciones generales 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 lados entre

0.25 π

0.25 π t = arcsin (0.26) + 2 πn

Dividir ambos lados entre

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 lados entre

0.25 π

0.25 π t = π - arcsin (0.26) + 2 πn

Dividir ambos lados entre

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 los terminos comunes:

0.25

= \frac{π t}{π}

Eliminar los terminos comunes:

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 los terminos comunes:

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 los terminos comunes:

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 soluciones en 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}

Ejemplos populares

(cot(x))/(csc(+1))=(csc(-1))/(cot(x))

\frac{cot ( x )}{csc ( + 1 )} = \frac{csc ( - 1 )}{cot ( x )}

4sin(x)+3sqrt(3)=sqrt(3)

4 sin (x) + 33 = 3

tan (b) = 3

4csc(θ+pi/3)=2

4 csc (θ + \frac{π}{3}) = 2

(-1)e^{-1}cos(y)=0

(- 1) e^{- 1} cos (y) = 0