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cos((-pi)/2+x/2)=0

Solución

cos (\frac{- π}{2} + \frac{x}{2}) = 0

Solución

x = 4 πn + 2 π, x = 4 πn + 4 π

Grados

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

Pasos de solución

cos (\frac{- π}{2} + \frac{x}{2}) = 0

Soluciones generales para

cos (\frac{- π}{2} + \frac{x}{2}) = 0

cos (x)

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} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{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} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

\frac{- π}{2} + \frac{x}{2} = \frac{π}{2} + 2 πn, \frac{- π}{2} + \frac{x}{2} = \frac{3 π}{2} + 2 πn

\frac{- π}{2} + \frac{x}{2} = \frac{π}{2} + 2 πn, \frac{- π}{2} + \frac{x}{2} = \frac{3 π}{2} + 2 πn

Resolver

\frac{- π}{2} + \frac{x}{2} = \frac{π}{2} + 2 πn : x = 4 πn + 2 π

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

Mover

\frac{- π}{2}

al lado derecho

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

Restar

\frac{- π}{2}

de ambos lados

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

Simplificar

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

Simplificar

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

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

Sumar elementos similares:

\frac{- π}{2} - \frac{- π}{2} = 0

= \frac{x}{2}

Simplificar

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

\frac{π}{2} + 2 πn - \frac{- π}{2}

Agrupar términos semejantes

= 2 πn + \frac{π}{2} - \frac{- π}{2}

Combinar las fracciones usando el mínimo común denominador:

π

Aplicar la regla

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

= \frac{π + π}{2}

Sumar elementos similares:

π + π = 2 π

= \frac{2 π}{2}

Dividir:

\frac{2}{2} = 1

= π

= 2 πn + π

\frac{x}{2} = 2 πn + π

\frac{x}{2} = 2 πn + π

\frac{x}{2} = 2 πn + π

Multiplicar ambos lados por

2

\frac{x}{2} = 2 πn + π

Multiplicar ambos lados por

2

\frac{2 x}{2} = 2 \cdot 2 πn + 2 π

Simplificar

x = 4 πn + 2 π

x = 4 πn + 2 π

Resolver

\frac{- π}{2} + \frac{x}{2} = \frac{3 π}{2} + 2 πn : x = 4 πn + 4 π

\frac{- π}{2} + \frac{x}{2} = \frac{3 π}{2} + 2 πn

Mover

\frac{- π}{2}

al lado derecho

\frac{- π}{2} + \frac{x}{2} = \frac{3 π}{2} + 2 πn

Restar

\frac{- π}{2}

de ambos lados

\frac{- π}{2} + \frac{x}{2} - \frac{- π}{2} = \frac{3 π}{2} + 2 πn - \frac{- π}{2}

Simplificar

\frac{- π}{2} + \frac{x}{2} - \frac{- π}{2} = \frac{3 π}{2} + 2 πn - \frac{- π}{2}

Simplificar

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

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

Sumar elementos similares:

\frac{- π}{2} - \frac{- π}{2} = 0

= \frac{x}{2}

Simplificar

\frac{3 π}{2} + 2 πn - \frac{- π}{2} : 2 πn + 2 π

\frac{3 π}{2} + 2 πn - \frac{- π}{2}

Agrupar términos semejantes

= 2 πn + \frac{3 π}{2} - \frac{- π}{2}

Combinar las fracciones usando el mínimo común denominador:

2 π

Aplicar la regla

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

= \frac{3 π + π}{2}

Sumar elementos similares:

3 π + π = 4 π

= \frac{4 π}{2}

Dividir:

\frac{4}{2} = 2

= 2 π

= 2 πn + 2 π

\frac{x}{2} = 2 πn + 2 π

\frac{x}{2} = 2 πn + 2 π

\frac{x}{2} = 2 πn + 2 π

Multiplicar ambos lados por

2

\frac{x}{2} = 2 πn + 2 π

Multiplicar ambos lados por

2

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

Simplificar

x = 4 πn + 4 π

x = 4 πn + 4 π

x = 4 πn + 2 π, x = 4 πn + 4 π

Ejemplos populares

cos(x)=-0.175

cos (x) = - 0.175

sec^2(x)=2tan^2(x)

sec^{2} (x) = 2 tan^{2} (x)

(sin(x))/(cos(x))-5+(4cos(x))/(sin(x))=0

\frac{sin ( x )}{cos ( x )} - 5 + \frac{4 cos ( x )}{sin ( x )} = 0

solvefor x,y=sin(3.2x)resolver para

x, y = sin (3.2 x)

sin(x)=0.37,pi<x< pi/2

sin (x) = 0.37, π < x < \frac{π}{2}