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Popular >

0.5sin(x)=1(645*10^{-9})

Solución

0.5 \cdot sin (x) = 1 \cdot (645 \cdot 1 0^{- 9})

Solución

x = 0.00000129 + 2 πn, x = π - 0.00000129 + 2 πn

Grados

x = 0.00007 \dots^{\circ} + 36 0^{\circ} n, x = 179.99992 \dots^{\circ} + 36 0^{\circ} n

Pasos de solución

0.5 sin (x) = 1 \cdot (645 \cdot 1 0^{- 9})

Simplificar

1 \cdot 645 \cdot 1 0^{- 9} : \frac{129}{200000000}

1 \cdot 645 \cdot 1 0^{- 9}

Aplicar las leyes de los exponentes:

a^{- b} = \frac{1}{a ^{b}}

1 0^{- 9} = \frac{1}{1 0 ^{9}}

= 1 \cdot 645 \cdot \frac{1}{1 0 ^{9}}

Multiplicar fracciones:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= 1 \cdot \frac{1 \cdot 645}{1 0 ^{9}}

\frac{1 \cdot 645}{1 0 ^{9}} = \frac{129}{200000000}

\frac{1 \cdot 645}{1 0 ^{9}}

Multiplicar los numeros:

1 \cdot 645 = 645

= \frac{645}{1 0 ^{9}}

Factorizar

645 : 3 \cdot 5 \cdot 43

Factorizar

645 = 3 \cdot 5 \cdot 43

Factorizar

1 0^{9} : 2^{9} \cdot 5^{9}

Factorizar

10 = 2 \cdot 5

= (2 \cdot 5)^{9}

Aplicar las leyes de los exponentes:

(ab)^{c} = a^{c} b^{c}

= 2^{9} \cdot 5^{9}

= \frac{3 \cdot 5 \cdot 43}{2 ^{9} \cdot 5 ^{9}}

Eliminar los terminos comunes:

5

= \frac{3 \cdot 43}{2 ^{9} \cdot 5 ^{8}}

Multiplicar los numeros:

3 \cdot 43 = 129

= \frac{129}{2 ^{9} \cdot 5 ^{8}}

2^{9} \cdot 5^{8} = 200000000

2^{9} \cdot 5^{8}

2^{9} = 512

= 5^{8} \cdot 512

5^{8} = 390625

= 512 \cdot 390625

Multiplicar los numeros:

512 \cdot 390625 = 200000000

= 200000000

= \frac{129}{200000000}

= 1 \cdot \frac{129}{200000000}

Multiplicar:

1 \cdot \frac{129}{200000000} = \frac{129}{200000000}

= \frac{129}{200000000}

0.5 sin (x) = \frac{129}{200000000}

Multiplicar ambos lados por

10

0.5 sin (x) = \frac{129}{200000000}

To eliminate decimal points, multiply by 10 for every digit after the decimal pointThere is one digit to the right of the decimal point, therefore multiply by

10

0.5 sin (x) \cdot 10 = \frac{129}{200000000} \cdot 10

Simplificar

5 sin (x) = \frac{129}{20000000}

5 sin (x) = \frac{129}{20000000}

Dividir ambos lados entre

5

5 sin (x) = \frac{129}{20000000}

Dividir ambos lados entre

5

\frac{5 sin ( x )}{5} = \frac{\frac{129}{20000000}}{5}

Simplificar

\frac{5 sin ( x )}{5} = \frac{\frac{129}{20000000}}{5}

Simplificar

\frac{5 sin ( x )}{5} : sin (x)

\frac{5 sin ( x )}{5}

Dividir:

\frac{5}{5} = 1

= sin (x)

Simplificar

\frac{\frac{129}{20000000}}{5} : \frac{129}{100000000}

\frac{\frac{129}{20000000}}{5}

Aplicar las propiedades de las fracciones:

\frac{\frac{b}{c}}{a} = \frac{b}{c \cdot a}

= \frac{129}{20000000 \cdot 5}

Multiplicar los numeros:

20000000 \cdot 5 = 100000000

= \frac{129}{100000000}

sin (x) = \frac{129}{100000000}

sin (x) = \frac{129}{100000000}

sin (x) = \frac{129}{100000000}

Aplicar propiedades trigonométricas inversas

sin (x) = \frac{129}{100000000}

Soluciones generales para

sin (x) = \frac{129}{100000000}

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

x = arcsin (\frac{129}{100000000}) + 2 πn, x = π - arcsin (\frac{129}{100000000}) + 2 πn

x = arcsin (\frac{129}{100000000}) + 2 πn, x = π - arcsin (\frac{129}{100000000}) + 2 πn

Mostrar soluciones en forma decimal

x = 0.00000129 + 2 πn, x = π - 0.00000129 + 2 πn

Ejemplos populares

sin(2x)=2cos(2x)

sin (2 x) = 2 cos (2 x)

5tan^2(x)-7=8

5 tan^{2} (x) - 7 = 8

3sin(2y)-4sin(2y)cos(2y)=0

3 sin (2 y) - 4 sin (2 y) cos (2 y) = 0

sin(x)+sin(4x)=0

sin (x) + sin (4 x) = 0

cos(0.568x-2.595)=0

cos (0.568 x - 2.595) = 0

0.5*sin(x)=1*(645*10^{-9})

Solución

Solución

Ejemplos populares

0.5sin(x)=1(645*10^{-9})