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Popular >

0=1-3cos(θ)

Solución

0 = 1 - 3 cos (θ)

Solución

θ = 1.23095 \dots + 2 πn, θ = 2 π - 1.23095 \dots + 2 πn

+1

Grados

θ = 70.52877 \dots^{\circ} + 36 0^{\circ} n, θ = 289.47122 \dots^{\circ} + 36 0^{\circ} n

Pasos de solución

0 = 1 - 3 cos (θ)

Intercambiar lados

1 - 3 cos (θ) = 0

Mover

1

al lado derecho

1 - 3 cos (θ) = 0

Restar

1

de ambos lados

1 - 3 cos (θ) - 1 = 0 - 1

Simplificar

- 3 cos (θ) = - 1

- 3 cos (θ) = - 1

Dividir ambos lados entre

- 3

- 3 cos (θ) = - 1

Dividir ambos lados entre

- 3

\frac{- 3 cos ( θ )}{- 3} = \frac{- 1}{- 3}

Simplificar

cos (θ) = \frac{1}{3}

cos (θ) = \frac{1}{3}

Aplicar propiedades trigonométricas inversas

cos (θ) = \frac{1}{3}

Soluciones generales para

cos (θ) = \frac{1}{3}

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

θ = arccos (\frac{1}{3}) + 2 πn, θ = 2 π - arccos (\frac{1}{3}) + 2 πn

θ = arccos (\frac{1}{3}) + 2 πn, θ = 2 π - arccos (\frac{1}{3}) + 2 πn

Mostrar soluciones en forma decimal

θ = 1.23095 \dots + 2 πn, θ = 2 π - 1.23095 \dots + 2 πn

Ejemplos populares

(tan((3a)/2))tan(a/2)=3

(tan (\frac{3 a}{2})) tan (\frac{a}{2}) = 3

1=sqrt(3)sin(x)

1 = 3 sin (x)

(sin(115))/(20)=(sin(B))/(15)

\frac{sin ( 11 5 ^{\circ} )}{20} = \frac{sin ( B )}{15}

3tan(θ)+1=2tan(θ)

3 tan (θ) + 1 = 2 tan (θ)

cos (x) = \frac{18}{25}