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Popular >

-2cos(θ)+2sqrt(3)=sqrt(3)

Solución

- 2 cos (θ) + 23 = 3

Solución

θ = \frac{π}{6} + 2 πn, θ = \frac{11 π}{6} + 2 πn

+1

Grados

θ = 3 0^{\circ} + 36 0^{\circ} n, θ = 33 0^{\circ} + 36 0^{\circ} n

Pasos de solución

- 2 cos (θ) + 23 = 3

Mover

23

al lado derecho

- 2 cos (θ) + 23 = 3

Restar

23

de ambos lados

- 2 cos (θ) + 23 - 23 = 3 - 23

Simplificar

- 2 cos (θ) + 23 - 23 = 3 - 23

Simplificar

- 2 cos (θ) + 23 - 23 : - 2 cos (θ)

- 2 cos (θ) + 23 - 23

Sumar elementos similares:

23 - 23 = 0

= - 2 cos (θ)

Simplificar

3 - 23 : - 3

3 - 23

Sumar elementos similares:

3 - 23 = - 3

= - 3

- 2 cos (θ) = - 3

- 2 cos (θ) = - 3

- 2 cos (θ) = - 3

Dividir ambos lados entre

- 2

- 2 cos (θ) = - 3

Dividir ambos lados entre

- 2

\frac{- 2 cos ( θ )}{- 2} = \frac{- 3}{- 2}

Simplificar

cos (θ) = \frac{3}{2}

cos (θ) = \frac{3}{2}

Soluciones generales para

cos (θ) = \frac{3}{2}

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}

θ = \frac{π}{6} + 2 πn, θ = \frac{11 π}{6} + 2 πn

θ = \frac{π}{6} + 2 πn, θ = \frac{11 π}{6} + 2 πn

Ejemplos populares

solvefor x,4cos^3(x)=3cos(x)resolver para

x, 4 cos^{3} (x) = 3 cos (x)

cos^2(x)=2cos(x)-1

cos^{2} (x) = 2 cos (x) - 1

sqrt(11)sin(x+37.09)=1

11 sin (x + 37.0 9^{\circ}) = 1

cot^2(x)+3csc(x)+3=0

cot^{2} (x) + 3 csc (x) + 3 = 0

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

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