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Popular >

sin(x+pi/2)-sin(x-pi/2)=sqrt(2)

Solución

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

Solución

x = \frac{π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

+1

Pasos de solución

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

Re-escribir usando identidades trigonométricas

2 cos (x) = 2

Dividir ambos lados entre

2

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

Soluciones generales para

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

x = \frac{π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

Ejemplos populares

solvefor x,tan(x)csc(x)= 1/f resolver para

x, tan (x) csc (x) = \frac{1}{f}

sin(x)=(10.7)/(71.5)

sin (x) = \frac{10.7}{71.5}

cos (y) = 1

sec(x)=-sqrt(3)

sec (x) = - 3

1.5=(sin(45))/(sin(x))

1.5 = \frac{sin ( 4 5 ^{\circ} )}{sin ( x )}