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Popular >

2-5cos(x+1)=4

Solución

2 - 5 cos (x + 1) = 4

Solución

x = 1.98231 \dots + 2 πn - 1, x = - 1.98231 \dots + 2 πn - 1

+1

Grados

x = 56.28239 \dots^{\circ} + 36 0^{\circ} n, x = - 170.87395 \dots^{\circ} + 36 0^{\circ} n

Pasos de solución

2 - 5 cos (x + 1) = 4

Mover

2

al lado derecho

2 - 5 cos (x + 1) = 4

Restar

2

de ambos lados

2 - 5 cos (x + 1) - 2 = 4 - 2

Simplificar

- 5 cos (x + 1) = 2

- 5 cos (x + 1) = 2

Dividir ambos lados entre

- 5

- 5 cos (x + 1) = 2

Dividir ambos lados entre

- 5

\frac{- 5 cos ( x + 1 )}{- 5} = \frac{2}{- 5}

Simplificar

cos (x + 1) = - \frac{2}{5}

cos (x + 1) = - \frac{2}{5}

Aplicar propiedades trigonométricas inversas

cos (x + 1) = - \frac{2}{5}

Soluciones generales para

cos (x + 1) = - \frac{2}{5}

cos (x) = - a \Rightarrow x = arccos (- a) + 2 πn, x = - arccos (- a) + 2 πn

x + 1 = arccos (- \frac{2}{5}) + 2 πn, x + 1 = - arccos (- \frac{2}{5}) + 2 πn

x + 1 = arccos (- \frac{2}{5}) + 2 πn, x + 1 = - arccos (- \frac{2}{5}) + 2 πn

Resolver

x + 1 = arccos (- \frac{2}{5}) + 2 πn : x = arccos (- \frac{2}{5}) + 2 πn - 1

x + 1 = arccos (- \frac{2}{5}) + 2 πn

Mover

1

al lado derecho

x + 1 = arccos (- \frac{2}{5}) + 2 πn

Restar

1

de ambos lados

x + 1 - 1 = arccos (- \frac{2}{5}) + 2 πn - 1

Simplificar

x = arccos (- \frac{2}{5}) + 2 πn - 1

x = arccos (- \frac{2}{5}) + 2 πn - 1

Resolver

x + 1 = - arccos (- \frac{2}{5}) + 2 πn : x = - arccos (- \frac{2}{5}) + 2 πn - 1

x + 1 = - arccos (- \frac{2}{5}) + 2 πn

Mover

1

al lado derecho

x + 1 = - arccos (- \frac{2}{5}) + 2 πn

Restar

1

de ambos lados

x + 1 - 1 = - arccos (- \frac{2}{5}) + 2 πn - 1

Simplificar

x = - arccos (- \frac{2}{5}) + 2 πn - 1

x = - arccos (- \frac{2}{5}) + 2 πn - 1

x = arccos (- \frac{2}{5}) + 2 πn - 1, x = - arccos (- \frac{2}{5}) + 2 πn - 1

Mostrar soluciones en forma decimal

x = 1.98231 \dots + 2 πn - 1, x = - 1.98231 \dots + 2 πn - 1

Ejemplos populares

2(tan(θ)+3)=5+tan(θ)

2 (tan (θ) + 3) = 5 + tan (θ)

sin^2(x)=((9m-8))/2

sin^{2} (x) = \frac{( 9 m - 8 )}{2}

5/2 cos(2x)-1/2 =3sin(x)

\frac{5}{2} cos (2 x) - \frac{1}{2} = 3 sin (x)

cos(pi+x)= 1/(sqrt(2))

cos (π + x) = \frac{1}{2}

(tan(x)-4)(16sin^2(x)-1)=0

(tan (x) - 4) (16 sin^{2} (x) - 1) = 0