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Popular >

sin(x-53.13)=-2/5

Solución

sin (x - 53.1 3^{\circ}) = - \frac{2}{5}

Solución

x = - 0.41151 \dots + 36 0^{\circ} n + 53.1 3^{\circ}, x = 18 0^{\circ} + 0.41151 \dots + 36 0^{\circ} n + 53.1 3^{\circ}

+1

radianes

x = - 0.41151 \dots + \frac{1771 π}{6000} + 2 πn, x = π + 0.41151 \dots + \frac{1771 π}{6000} + 2 πn

Pasos de solución

sin (x - 53.1 3^{\circ}) = - \frac{2}{5}

Aplicar propiedades trigonométricas inversas

sin (x - 53.1 3^{\circ}) = - \frac{2}{5}

Soluciones generales para

sin (x - 53.1 3^{\circ}) = - \frac{2}{5}

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

x - 53.1 3^{\circ} = arcsin (- \frac{2}{5}) + 36 0^{\circ} n, x - 53.1 3^{\circ} = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n

x - 53.1 3^{\circ} = arcsin (- \frac{2}{5}) + 36 0^{\circ} n, x - 53.1 3^{\circ} = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n

Resolver

x - 53.1 3^{\circ} = arcsin (- \frac{2}{5}) + 36 0^{\circ} n : x = - arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}

x - 53.1 3^{\circ} = arcsin (- \frac{2}{5}) + 36 0^{\circ} n

Simplificar

arcsin (- \frac{2}{5}) + 36 0^{\circ} n : - arcsin (\frac{2}{5}) + 36 0^{\circ} n

arcsin (- \frac{2}{5}) + 36 0^{\circ} n

Utilizar la siguiente propiedad:

arcsin (- x) = - arcsin (x)

arcsin (- \frac{2}{5}) = - arcsin (\frac{2}{5})

= - arcsin (\frac{2}{5}) + 36 0^{\circ} n

x - 53.1 3^{\circ} = - arcsin (\frac{2}{5}) + 36 0^{\circ} n

Mover

53.1 3^{\circ}

al lado derecho

x - 53.1 3^{\circ} = - arcsin (\frac{2}{5}) + 36 0^{\circ} n

Sumar

53.1 3^{\circ}

a ambos lados

x - 53.1 3^{\circ} + 53.1 3^{\circ} = - arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}

Simplificar

x = - arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}

x = - arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}

Resolver

x - 53.1 3^{\circ} = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n : x = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}

x - 53.1 3^{\circ} = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n

Mover

53.1 3^{\circ}

al lado derecho

x - 53.1 3^{\circ} = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n

Sumar

53.1 3^{\circ}

a ambos lados

x - 53.1 3^{\circ} + 53.1 3^{\circ} = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}

Simplificar

x = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}

x = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}

x = - arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}, x = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}

Mostrar soluciones en forma decimal

x = - 0.41151 \dots + 36 0^{\circ} n + 53.1 3^{\circ}, x = 18 0^{\circ} + 0.41151 \dots + 36 0^{\circ} n + 53.1 3^{\circ}

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