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Popular >

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

Solución

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

Solución

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn, x = 2 πn, x = π + 2 πn

+1

Pasos de solución

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

Restar

sin (x)

de ambos lados

2 - 2 cos^{2} (x) - sin (x) = 0

Re-escribir usando identidades trigonométricas

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

Usando el método de sustitución

sin (x) = \frac{1}{2}, sin (x) = 0

sin (x) = \frac{1}{2} : x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

sin (x) = 0 : x = 2 πn, x = π + 2 πn

Combinar toda las soluciones

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn, x = 2 πn, x = π + 2 πn

Ejemplos populares

cos (x) = \frac{6}{7}

2cos(x)+1=sin(x)

2 cos (x) + 1 = sin (x)

csc^2(x)=2csc(x)

csc^{2} (x) = 2 csc (x)

cos(x)-3sin(x)=0

cos (x) - 3 sin (x) = 0

2cos(4x)+3=4cos(2x)

2 cos (4 x) + 3 = 4 cos (2 x)