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Popular >

sin(θ)=(sqrt(44))/(12)

Solución

sin (θ) = \frac{44}{12}

Solución

θ = 0.58568 \dots + 2 πn, θ = π - 0.58568 \dots + 2 πn

+1

radianes

θ = 0.58568 \dots + 6.28318 \dots n, θ = π - 0.58568 \dots + 6.28318 \dots n

Pasos de solución

sin (θ) = \frac{44}{12}

Simplificar

\frac{44}{12} : \frac{11}{6}

\frac{44}{12}

Factorizar

44 : 211

Factorizar

44 = 2^{2} \cdot 11

= 2^{2} \cdot 11

Aplicar las leyes de los exponentes:

= 11 2^{2}

Simplificar

2^{2} : 2

2^{2}

Aplicar la siguiente propiedad de los radicales:

asumiendo que

a \geq 0

= 2

= 211

Factorizar

12 : 2^{2} \cdot 3

Factorizar

12 = 2^{2} \cdot 3

= \frac{2 11}{2 ^{2} \cdot 3}

Eliminar los terminos comunes:

2

= \frac{11}{2 \cdot 3}

Multiplicar los numeros:

2 \cdot 3 = 6

= \frac{11}{6}

Aplicar propiedades trigonométricas inversas

sin (θ) = \frac{11}{6}

Soluciones generales para

sin (θ) = \frac{11}{6}

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

θ = arcsin (\frac{11}{6}) + 2 πn, θ = π - arcsin (\frac{11}{6}) + 2 πn

θ = arcsin (\frac{11}{6}) + 2 πn, θ = π - arcsin (\frac{11}{6}) + 2 πn

Mostrar soluciones en forma decimal

θ = 0.58568 \dots + 2 πn, θ = π - 0.58568 \dots + 2 πn

Ejemplos populares

cos(A)=(2^2+2.24^2-2.24^2)/(2(2)(2.24))

cos (A) = \frac{2 ^{2} + 2.2 4 ^{2} - 2.2 4 ^{2}}{2 ( 2 ) ( 2.24 )}

cos(θ)=-3/5 ,θ,3

cos (θ) = - \frac{3}{5}, θ, 3

sin (3 x) = 0.5

cos^2(x)-5sin(x)+5=0

cos^{2} (x) - 5 sin (x) + 5 = 0

-4+cos(4θ)=(-8+sqrt(3))/2

- 4 + cos (4 θ) = \frac{- 8 + 3}{2}