4sin(x/3)-3=0

Solución

4 sin (\frac{x}{3}) - 3 = 0

x = 3 \cdot 0.84806 \dots + 6 πn, x = 3 π - 3 \cdot 0.84806 \dots + 6 πn

Pasos de solución

4 sin (\frac{x}{3}) - 3 = 0

Mover

3

al lado derecho

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

Dividir ambos lados entre

4

sin (\frac{x}{3}) = \frac{3}{4}

Aplicar propiedades trigonométricas inversas

\frac{x}{3} = arcsin (\frac{3}{4}) + 2 πn, \frac{x}{3} = π - arcsin (\frac{3}{4}) + 2 πn

Resolver

\frac{x}{3} = arcsin (\frac{3}{4}) + 2 πn : x = 3 arcsin (\frac{3}{4}) + 6 πn

Resolver

\frac{x}{3} = π - arcsin (\frac{3}{4}) + 2 πn : x = 3 π - 3 arcsin (\frac{3}{4}) + 6 πn

x = 3 arcsin (\frac{3}{4}) + 6 πn, x = 3 π - 3 arcsin (\frac{3}{4}) + 6 πn

Mostrar soluciones en forma decimal

x = 3 \cdot 0.84806 \dots + 6 πn, x = 3 π - 3 \cdot 0.84806 \dots + 6 πn

0 = sin (c)

sin (θ) = - \frac{5}{13}, sec (θ)

3 cosh (x) + 5 sinh (x) = - 3

sin (a) = 2 (1 - cos (a))

4 + 4 tan (θ) = 0