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Popular >

sin(3x)+sin(x)=0,0<= x<= 2pi

Solución

sin (3 x) + sin (x) = 0, 0 \leq x \leq 2 π

Solución

x = \frac{π}{2}, x = \frac{3 π}{2}, x = 0, x = π, x = 2 π

+1

Pasos de solución

sin (3 x) + sin (x) = 0, 0 \leq x \leq 2 π

Re-escribir usando identidades trigonométricas

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

Resolver cada parte por separado

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

cos (x) = 0, 0 \leq x \leq 2 π : x = \frac{π}{2}, x = \frac{3 π}{2}

sin (2 x) = 0, 0 \leq x \leq 2 π : x = 0, x = \frac{π}{2}, x = π, x = \frac{3 π}{2}, x = 2 π

Combinar toda las soluciones

x = \frac{π}{2}, x = \frac{3 π}{2}, x = 0, x = π, x = 2 π

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