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Popular >

sin(0.5x)=0

Solución

sin (0.5 x) = 0

Solución

x = 4 πn, x = 2 π + 4 πn

Grados

x = 0^{\circ} + 72 0^{\circ} n, x = 36 0^{\circ} + 72 0^{\circ} n

Pasos de solución

sin (0.5 x) = 0

Soluciones generales para

sin (0.5 x) = 0

tabla de valores periódicos con

2 πn

intervalos:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

0.5 x = 0 + 2 πn, 0.5 x = π + 2 πn

0.5 x = 0 + 2 πn, 0.5 x = π + 2 πn

Resolver

0.5 x = 0 + 2 πn : x = 4 πn

0.5 x = 0 + 2 πn

0 + 2 πn = 2 πn

0.5 x = 2 πn

Multiplicar ambos lados por

10

0.5 x = 2 πn

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 x \cdot 10 = 2 πn \cdot 10

Simplificar

5 x = 20 πn

5 x = 20 πn

Dividir ambos lados entre

5

5 x = 20 πn

Dividir ambos lados entre

5

\frac{5 x}{5} = \frac{20 πn}{5}

Simplificar

x = 4 πn

x = 4 πn

Resolver

0.5 x = π + 2 πn : x = 2 π + 4 πn

0.5 x = π + 2 πn

Multiplicar ambos lados por

10

0.5 x = π + 2 πn

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 x \cdot 10 = π 10 + 2 πn \cdot 10

Simplificar

5 x = 10 π + 20 πn

5 x = 10 π + 20 πn

Dividir ambos lados entre

5

5 x = 10 π + 20 πn

Dividir ambos lados entre

5

\frac{5 x}{5} = \frac{10 π}{5} + \frac{20 πn}{5}

Simplificar

\frac{5 x}{5} = \frac{10 π}{5} + \frac{20 πn}{5}

Simplificar

\frac{5 x}{5} : x

\frac{5 x}{5}

Dividir:

\frac{5}{5} = 1

= x

Simplificar

\frac{10 π}{5} + \frac{20 πn}{5} : 2 π + 4 πn

\frac{10 π}{5} + \frac{20 πn}{5}

Dividir:

\frac{10}{5} = 2

= 2 π + \frac{20 πn}{5}

Dividir:

\frac{20}{5} = 4

= 2 π + 4 πn

x = 2 π + 4 πn

x = 2 π + 4 πn

x = 2 π + 4 πn

x = 4 πn, x = 2 π + 4 πn

Ejemplos populares

cos(2x)=2-3sin(x), pi/2 <= x<= (3pi)/2

cos (2 x) = 2 - 3 sin (x), \frac{π}{2} \leq x \leq \frac{3 π}{2}

3sin(x)cos(x)=0

3 sin (x) cos (x) = 0

1/2 sin(t)-1/2 =-1

\frac{1}{2} sin (t) - \frac{1}{2} = - 1

20sin^2(x)-21sin(x)+4=0

20 sin^{2} (x) - 21 sin (x) + 4 = 0

4tan(x)+1=0

4 tan (x) + 1 = 0