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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 = 0, x = \frac{2 π}{3}, x = \frac{4 π}{3}, x = 2 π

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Pasos de solución

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

Re-escribir usando identidades trigonométricas

- 2 sin (\frac{3 x}{2}) sin (\frac{x}{2}) = 0

Resolver cada parte por separado

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

sin (\frac{3 x}{2}) = 0, 0 \leq x \leq 2 π : x = 0, x = \frac{2 π}{3}, x = \frac{4 π}{3}, x = 2 π

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

Combinar toda las soluciones

x = 0, x = \frac{2 π}{3}, x = \frac{4 π}{3}, x = 2 π

Ejemplos populares

cos (θ) = 2

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

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

cos (4 x) - 1 = 0

cos(5x)=-cos(2x)

cos (5 x) = - cos (2 x)

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

cos^{2} (x) - cos (x) - 2 = 0