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Popular >

sin(0.3x)=1

Solución

sin (0.3 x) = 1

Solución

x = \frac{5 π}{3} + \frac{20 πn}{3}

Grados

x = 30 0^{\circ} + 120 0^{\circ} n

Pasos de solución

sin (0.3 x) = 1

Soluciones generales para

sin (0.3 x) = 1

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}

0.3 x = \frac{π}{2} + 2 πn

0.3 x = \frac{π}{2} + 2 πn

Resolver

0.3 x = \frac{π}{2} + 2 πn : x = \frac{5 π}{3} + \frac{20 πn}{3}

0.3 x = \frac{π}{2} + 2 πn

Multiplicar ambos lados por

10

0.3 x = \frac{π}{2} + 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

0.3 x \cdot 10 = \frac{π}{2} \cdot 10 + 2 πn \cdot 10

Simplificar

3 x = 5 π + 20 πn

3 x = 5 π + 20 πn

Dividir ambos lados entre

3

3 x = 5 π + 20 πn

Dividir ambos lados entre

3

\frac{3 x}{3} = \frac{5 π}{3} + \frac{20 πn}{3}

Simplificar

x = \frac{5 π}{3} + \frac{20 πn}{3}

x = \frac{5 π}{3} + \frac{20 πn}{3}

x = \frac{5 π}{3} + \frac{20 πn}{3}

Ejemplos populares

22.89=cos(a)

22.89 = cos (a)

cos(x)=sqrt(2/2)

cos (x) = \frac{2}{2}

21.16=19.6sin(x)-29.4cos(x)

21.16 = 19.6 sin (x) - 29.4 cos (x)

10sin(x)cos^2(x)+3cos(x)=0

10 sin (x) cos^{2} (x) + 3 cos (x) = 0

(2cos(x))-1=0

(2 cos (x)) - 1 = 0