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Popular >

cos(2x)+cos(x)=0,0<= x<= 2pi

Solución

cos (2 x) + cos (x) = 0, 0 \leq x \leq 2 π

Solución

x = \frac{π}{3}, x = π, x = \frac{5 π}{3}

+1

Pasos de solución

cos (2 x) + cos (x) = 0, 0 \leq x \leq 2 π

Re-escribir usando identidades trigonométricas

2 cos (\frac{3 x}{2}) cos (\frac{x}{2}) = 0

Resolver cada parte por separado

cos (\frac{3 x}{2}) = 0 or cos (\frac{x}{2}) = 0

cos (\frac{3 x}{2}) = 0, 0 \leq x \leq 2 π : x = \frac{π}{3}, x = π, x = \frac{5 π}{3}

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

Combinar toda las soluciones

x = \frac{π}{3}, x = π, x = \frac{5 π}{3}

Ejemplos populares

cos(5x)cos(3x)-sin(5x)sin(3x)=(sqrt(3))/2

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

- 6 sin (2 x) = 0

sin (3 x) - 1 = 0

- sin (θ) = 0

sin (θ) = \frac{1}{6}