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Popular >

(sin(90)}{5.8}=\frac{sin(x))/5

Solución

\frac{sin ( 9 0 ^{\circ} )}{5.8} = \frac{sin ( x )}{5}

Solución

x = 1.03933 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 1.03933 \dots + 36 0^{\circ} n

+1

radianes

x = 1.03933 \dots + 2 πn, x = π - 1.03933 \dots + 2 πn

Pasos de solución

\frac{sin ( 9 0 ^{\circ} )}{5.8} = \frac{sin ( x )}{5}

sin (9 0^{\circ}) = 1

sin (9 0^{\circ})

Utilizar la siguiente identidad trivial:

sin (9 0^{\circ}) = 1

sin (9 0^{\circ})

tabla de valores periódicos con

36 0^{\circ} n

intervalos:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

= 1

= 1

\frac{1}{5.8} = \frac{sin ( x )}{5}

Intercambiar lados

\frac{sin ( x )}{5} = \frac{1}{5.8}

Multiplicar ambos lados por

5

\frac{sin ( x )}{5} = \frac{1}{5.8}

Multiplicar ambos lados por

5

\frac{5 sin ( x )}{5} = \frac{1 \cdot 5}{5.8}

Simplificar

\frac{5 sin ( x )}{5} = \frac{1 \cdot 5}{5.8}

Simplificar

\frac{5 sin ( x )}{5} : sin (x)

\frac{5 sin ( x )}{5}

Dividir:

\frac{5}{5} = 1

= sin (x)

Simplificar

\frac{1 \cdot 5}{5.8} : 0.86206 \dots

\frac{1 \cdot 5}{5.8}

Multiplicar los numeros:

1 \cdot 5 = 5

= \frac{5}{5.8}

Dividir:

\frac{5}{5.8} = 0.86206 \dots

= 0.86206 \dots

sin (x) = 0.86206 \dots

sin (x) = 0.86206 \dots

sin (x) = 0.86206 \dots

Aplicar propiedades trigonométricas inversas

sin (x) = 0.86206 \dots

Soluciones generales para

sin (x) = 0.86206 \dots

sin (x) = a \Rightarrow x = arcsin (a) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (a) + 36 0^{\circ} n

x = arcsin (0.86206 \dots) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (0.86206 \dots) + 36 0^{\circ} n

x = arcsin (0.86206 \dots) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (0.86206 \dots) + 36 0^{\circ} n

Mostrar soluciones en forma decimal

x = 1.03933 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 1.03933 \dots + 36 0^{\circ} n

Ejemplos populares

sin(x)tan(x)+sqrt(3)sin(x)=0

sin (x) tan (x) + 3 sin (x) = 0

4=5+3sin(2t-pi/5)

4 = 5 + 3 sin (2 t - \frac{π}{5})

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

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

tan(θ)=-0.5586,0<= θ<2pi

tan (θ) = - 0.5586, 0 \leq θ < 2 π

6cos^2(x)-sin(x)-5=0,0<= x<= 2pi

6 cos^{2} (x) - sin (x) - 5 = 0, 0 \leq x \leq 2 π