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0=3sin(x+pi/2)

Solución

0 = 3 sin (x + \frac{π}{2})

Solución

x = 2 πn - \frac{π}{2}, x = π + 2 πn - \frac{π}{2}

+1

Grados

x = - 9 0^{\circ} + 36 0^{\circ} n, x = 9 0^{\circ} + 36 0^{\circ} n

Pasos de solución

0 = 3 sin (x + \frac{π}{2})

Intercambiar lados

3 sin (x + \frac{π}{2}) = 0

Dividir ambos lados entre

3

3 sin (x + \frac{π}{2}) = 0

Dividir ambos lados entre

3

\frac{3 sin ( x + \frac{π}{2} )}{3} = \frac{0}{3}

Simplificar

sin (x + \frac{π}{2}) = 0

sin (x + \frac{π}{2}) = 0

Soluciones generales para

sin (x + \frac{π}{2}) = 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}

x + \frac{π}{2} = 0 + 2 πn, x + \frac{π}{2} = π + 2 πn

x + \frac{π}{2} = 0 + 2 πn, x + \frac{π}{2} = π + 2 πn

Resolver

x + \frac{π}{2} = 0 + 2 πn : x = 2 πn - \frac{π}{2}

x + \frac{π}{2} = 0 + 2 πn

0 + 2 πn = 2 πn

x + \frac{π}{2} = 2 πn

Mover

\frac{π}{2}

al lado derecho

x + \frac{π}{2} = 2 πn

Restar

\frac{π}{2}

de ambos lados

x + \frac{π}{2} - \frac{π}{2} = 2 πn - \frac{π}{2}

Simplificar

x = 2 πn - \frac{π}{2}

x = 2 πn - \frac{π}{2}

Resolver

x + \frac{π}{2} = π + 2 πn : x = π + 2 πn - \frac{π}{2}

x + \frac{π}{2} = π + 2 πn

Mover

\frac{π}{2}

al lado derecho

x + \frac{π}{2} = π + 2 πn

Restar

\frac{π}{2}

de ambos lados

x + \frac{π}{2} - \frac{π}{2} = π + 2 πn - \frac{π}{2}

Simplificar

x = π + 2 πn - \frac{π}{2}

x = π + 2 πn - \frac{π}{2}

x = 2 πn - \frac{π}{2}, x = π + 2 πn - \frac{π}{2}

Ejemplos populares

- cos (t) = cos (t)

sin^2(x)-cos(2x)=-1/4

sin^{2} (x) - cos (2 x) = - \frac{1}{4}

2=cos^2(x)+sin^2(x)

2 = cos^{2} (x) + sin^{2} (x)

-5pisin((pi(t))/2)=7.071

- 5 π sin (\frac{π ( t )}{2}) = 7.071

9.8*sin(x)-19.6*cos(x)=4.7

9.8 \cdot sin (x) - 19.6 \cdot cos (x) = 4.7