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Popular >

(cos(x)-2)(cos(x)+1)=0

Solución

(cos (x) - 2) (cos (x) + 1) = 0

Solución

x = π + 2 πn

+1

Grados

x = 18 0^{\circ} + 36 0^{\circ} n

Pasos de solución

(cos (x) - 2) (cos (x) + 1) = 0

Resolver cada parte por separado

cos (x) - 2 = 0 or cos (x) + 1 = 0

cos (x) - 2 = 0 :

Sin solución

cos (x) - 2 = 0

Mover

2

al lado derecho

cos (x) - 2 = 0

Sumar

2

a ambos lados

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

Simplificar

cos (x) = 2

cos (x) = 2

- 1 \leq cos (x) \leq 1

Sin soluci \overset{o}{ˊ} n

cos (x) + 1 = 0 : x = π + 2 πn

cos (x) + 1 = 0

Mover

1

al lado derecho

cos (x) + 1 = 0

Restar

1

de ambos lados

cos (x) + 1 - 1 = 0 - 1

Simplificar

cos (x) = - 1

cos (x) = - 1

Soluciones generales para

cos (x) = - 1

cos (x)

tabla de valores periódicos con

2 πn

intervalos:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

x = π + 2 πn

x = π + 2 πn

Combinar toda las soluciones

x = π + 2 πn

Ejemplos populares

6cos^2(x)+sin(x)-5=0

6 cos^{2} (x) + sin (x) - 5 = 0

tan (θ) = \frac{23}{72}

sin(θ-pi/2)=cos(θ)

sin (θ - \frac{π}{2}) = cos (θ)

sec^2(x)-4/3 =0

sec^{2} (x) - \frac{4}{3} = 0

sin(30t)=-0.625

sin (30 t) = - 0.625