6sin(8x)+2=-3

Solución

6 sin (8 x) + 2 = - 3

x = - \frac{0.98511 \dots}{8} + \frac{πn}{4}, x = \frac{π}{8} + \frac{0.98511 \dots}{8} + \frac{πn}{4}

Pasos de solución

6 sin (8 x) + 2 = - 3

Mover

2

al lado derecho

6 sin (8 x) = - 5

Dividir ambos lados entre

6

sin (8 x) = - \frac{5}{6}

Aplicar propiedades trigonométricas inversas

8 x = arcsin (- \frac{5}{6}) + 2 πn, 8 x = π + arcsin (\frac{5}{6}) + 2 πn

Resolver

8 x = arcsin (- \frac{5}{6}) + 2 πn : x = - \frac{arcsin ( \frac{5}{6} )}{8} + \frac{πn}{4}

Resolver

8 x = π + arcsin (\frac{5}{6}) + 2 πn : x = \frac{π}{8} + \frac{arcsin ( \frac{5}{6} )}{8} + \frac{πn}{4}

x = - \frac{arcsin ( \frac{5}{6} )}{8} + \frac{πn}{4}, x = \frac{π}{8} + \frac{arcsin ( \frac{5}{6} )}{8} + \frac{πn}{4}

Mostrar soluciones en forma decimal

x = - \frac{0.98511 \dots}{8} + \frac{πn}{4}, x = \frac{π}{8} + \frac{0.98511 \dots}{8} + \frac{πn}{4}

3 sin (θ) = 1 + sin (θ)

9 sin (x) cos (x) = - 8 cos (x)

8 sin (8 x) + 9 = 3

4 sin (θ) + 2 = 0

cot (x) (tan (x) + 1) = 0