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Popular >

7sin(a)= 1/11

Solución

7 sin (a) = \frac{1}{11}

Solución

a = 0.01298 \dots + 2 πn, a = π - 0.01298 \dots + 2 πn

+1

Grados

a = 0.74412 \dots^{\circ} + 36 0^{\circ} n, a = 179.25587 \dots^{\circ} + 36 0^{\circ} n

Pasos de solución

7 sin (a) = \frac{1}{11}

Dividir ambos lados entre

7

7 sin (a) = \frac{1}{11}

Dividir ambos lados entre

7

\frac{7 sin ( a )}{7} = \frac{\frac{1}{11}}{7}

Simplificar

\frac{7 sin ( a )}{7} = \frac{\frac{1}{11}}{7}

Simplificar

\frac{7 sin ( a )}{7} : sin (a)

\frac{7 sin ( a )}{7}

Dividir:

\frac{7}{7} = 1

= sin (a)

Simplificar

\frac{\frac{1}{11}}{7} : \frac{1}{77}

\frac{\frac{1}{11}}{7}

Aplicar las propiedades de las fracciones:

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

= \frac{1}{11 \cdot 7}

Multiplicar los numeros:

11 \cdot 7 = 77

= \frac{1}{77}

sin (a) = \frac{1}{77}

sin (a) = \frac{1}{77}

sin (a) = \frac{1}{77}

Aplicar propiedades trigonométricas inversas

sin (a) = \frac{1}{77}

Soluciones generales para

sin (a) = \frac{1}{77}

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

a = arcsin (\frac{1}{77}) + 2 πn, a = π - arcsin (\frac{1}{77}) + 2 πn

a = arcsin (\frac{1}{77}) + 2 πn, a = π - arcsin (\frac{1}{77}) + 2 πn

Mostrar soluciones en forma decimal

a = 0.01298 \dots + 2 πn, a = π - 0.01298 \dots + 2 πn

Ejemplos populares

tan(x)=2,x+y=135

tan (x) = 2, x + y = 135

tan(x/2)+cos(x)=1

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

sinh (z) = - 1

1+cos^2(a)=2cos^2(a)

1 + cos^{2} (a) = 2 cos^{2} (a)

sin (x) = \frac{15}{18}