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Popular >

(sin(x))/2+(sin(x))/3 = 1/4

Solución

\frac{sin ( x )}{2} + \frac{sin ( x )}{3} = \frac{1}{4}

Solución

x = 0.30469 \dots + 2 πn, x = π - 0.30469 \dots + 2 πn

+1

Pasos de solución

\frac{sin ( x )}{2} + \frac{sin ( x )}{3} = \frac{1}{4}

Simplificar

\frac{sin ( x )}{2} + \frac{sin ( x )}{3} : \frac{5 sin ( x )}{6}

\frac{5 sin ( x )}{6} = \frac{1}{4}

Multiplicar ambos lados por

6

5 sin (x) = \frac{3}{2}

Dividir ambos lados entre

5

sin (x) = \frac{3}{10}

Aplicar propiedades trigonométricas inversas

x = arcsin (\frac{3}{10}) + 2 πn, x = π - arcsin (\frac{3}{10}) + 2 πn

Mostrar soluciones en forma decimal

x = 0.30469 \dots + 2 πn, x = π - 0.30469 \dots + 2 πn

Ejemplos populares

2cos(x)sin(x)-cos(x)=0

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

cos (θ) = \frac{2}{3}

0 = cos (x)

tan (θ) = 3

sin (x) = \frac{5}{13}