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Popular >

1/2 (6.50941)+cos(θ)(10.40478)=12

Solución

\frac{1}{2} (6.50941) + cos (θ) (10.40478) = 12

Solución

θ = 0.57257 \dots + 2 πn, θ = 2 π - 0.57257 \dots + 2 πn

Grados

θ = 32.80625 \dots^{\circ} + 36 0^{\circ} n, θ = 327.19374 \dots^{\circ} + 36 0^{\circ} n

Pasos de solución

\frac{1}{2} (6.50941) + cos (θ) (10.40478) = 12

\frac{1}{2} \cdot 6.50941 = \frac{6.50941}{2}

\frac{1}{2} \cdot 6.50941

Multiplicar fracciones:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 6.50941}{2}

Multiplicar los numeros:

1 \cdot 6.50941 = 6.50941

= \frac{6.50941}{2}

\frac{6.50941}{2} + 10.40478 cos (θ) = 12

Mover

\frac{6.50941}{2}

al lado derecho

\frac{6.50941}{2} + 10.40478 cos (θ) = 12

Restar

\frac{6.50941}{2}

de ambos lados

\frac{6.50941}{2} + 10.40478 cos (θ) - \frac{6.50941}{2} = 12 - \frac{6.50941}{2}

Simplificar

\frac{6.50941}{2} + 10.40478 cos (θ) - \frac{6.50941}{2} = 12 - \frac{6.50941}{2}

Simplificar

\frac{6.50941}{2} + 10.40478 cos (θ) - \frac{6.50941}{2} : 10.40478 cos (θ)

\frac{6.50941}{2} + 10.40478 cos (θ) - \frac{6.50941}{2}

Sumar elementos similares:

\frac{6.50941}{2} - \frac{6.50941}{2} = 0

= 10.40478 cos (θ)

Simplificar

12 - \frac{6.50941}{2} : \frac{17.49059}{2}

12 - \frac{6.50941}{2}

Convertir a fracción:

12 = \frac{12 \cdot 2}{2}

= \frac{12 \cdot 2}{2} - \frac{6.50941}{2}

Ya que los denominadores son iguales, combinar las fracciones:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{12 \cdot 2 - 6.50941}{2}

12 \cdot 2 - 6.50941 = 17.49059

12 \cdot 2 - 6.50941

Multiplicar los numeros:

12 \cdot 2 = 24

= 24 - 6.50941

Restar:

24 - 6.50941 = 17.49059

= 17.49059

= \frac{17.49059}{2}

10.40478 cos (θ) = \frac{17.49059}{2}

10.40478 cos (θ) = \frac{17.49059}{2}

10.40478 cos (θ) = \frac{17.49059}{2}

Dividir ambos lados entre

10.40478

10.40478 cos (θ) = \frac{17.49059}{2}

Dividir ambos lados entre

10.40478

\frac{10.40478 cos ( θ )}{10.40478} = \frac{\frac{17.49059}{2}}{10.40478}

Simplificar

\frac{10.40478 cos ( θ )}{10.40478} = \frac{\frac{17.49059}{2}}{10.40478}

Simplificar

\frac{10.40478 cos ( θ )}{10.40478} : cos (θ)

\frac{10.40478 cos ( θ )}{10.40478}

Eliminar los terminos comunes:

10.40478

= cos (θ)

Simplificar

\frac{\frac{17.49059}{2}}{10.40478} : \frac{17.49059}{20.80956}

\frac{\frac{17.49059}{2}}{10.40478}

Aplicar las propiedades de las fracciones:

\frac{\frac{b}{c}}{a} = \frac{b}{c \cdot a}

= \frac{17.49059}{2 \cdot 10.40478}

Multiplicar los numeros:

2 \cdot 10.40478 = 20.80956

= \frac{17.49059}{20.80956}

cos (θ) = \frac{17.49059}{20.80956}

cos (θ) = \frac{17.49059}{20.80956}

cos (θ) = \frac{17.49059}{20.80956}

Aplicar propiedades trigonométricas inversas

cos (θ) = \frac{17.49059}{20.80956}

Soluciones generales para

cos (θ) = \frac{17.49059}{20.80956}

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

θ = arccos (\frac{17.49059}{20.80956}) + 2 πn, θ = 2 π - arccos (\frac{17.49059}{20.80956}) + 2 πn

θ = arccos (\frac{17.49059}{20.80956}) + 2 πn, θ = 2 π - arccos (\frac{17.49059}{20.80956}) + 2 πn

Mostrar soluciones en forma decimal

θ = 0.57257 \dots + 2 πn, θ = 2 π - 0.57257 \dots + 2 πn

Ejemplos populares

-8=-4+4tan(θ)

- 8 = - 4 + 4 tan (θ)

cos(x)=0.2588

cos (x) = 0.2588

2tan^2(x)+3tan(x)+1=0

2 tan^{2} (x) + 3 tan (x) + 1 = 0

-arctan(t)=(4-pi)/4

- arctan (t) = \frac{4 - π}{4}

cos^2(x+30)= 1/4

cos^{2} (x + 3 0^{\circ}) = \frac{1}{4}