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Popular >

2cos(x)+cos(x)+3=0

Solución

2 cos (x) + cos (x) + 3 = 0

Solución

x = π + 2 πn

+1

Grados

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

Pasos de solución

2 cos (x) + cos (x) + 3 = 0

Simplificar

2 cos (x) + cos (x) + 3 : 3 cos (x) + 3

2 cos (x) + cos (x) + 3

Sumar elementos similares:

2 cos (x) + cos (x) = 3 cos (x)

= 3 cos (x) + 3

3 cos (x) + 3 = 0

Mover

3

al lado derecho

3 cos (x) + 3 = 0

Restar

3

de ambos lados

3 cos (x) + 3 - 3 = 0 - 3

Simplificar

3 cos (x) = - 3

3 cos (x) = - 3

Dividir ambos lados entre

3

3 cos (x) = - 3

Dividir ambos lados entre

3

\frac{3 cos ( x )}{3} = \frac{- 3}{3}

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

Ejemplos populares

4cosh(x)+3sinh(x)=5

4 cosh (x) + 3 sinh (x) = 5

tan (θ) = 0.04

csc (θ) = \frac{9}{11}

5-7sin(x)=2cos^2(x)

5 - 7 sin (x) = 2 cos^{2} (x)

cos^2(x)-sin^2(x)=cos^2(x)+3cos(x)

cos^{2} (x) - sin^{2} (x) = cos^{2} (x) + 3 cos (x)