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Popular >

sin(x)cos(x)= 1/4

Solución

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

Solución

x = \frac{π}{12} + πn, x = \frac{5 π}{12} + πn

+1

Pasos de solución

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

Re-escribir usando identidades trigonométricas

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

Multiplicar ambos lados por

2

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

Soluciones generales para

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

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

Resolver

2 x = \frac{π}{6} + 2 πn : x = \frac{π}{12} + πn

Resolver

2 x = \frac{5 π}{6} + 2 πn : x = \frac{5 π}{12} + πn

x = \frac{π}{12} + πn, x = \frac{5 π}{12} + πn

Ejemplos populares

12sin^2(x)-13sin(x)+3=0

12 sin^{2} (x) - 13 sin (x) + 3 = 0

sin(θ)= 1/(sqrt(2))

sin (θ) = \frac{1}{2}

csc^{2} (x) - 1 = 0

csc(θ)=(2sqrt(3))/3

csc (θ) = \frac{2 3}{3}

- sin (2 x) = 0