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Popular Trigonometría >

31.21=40sin(25g)

Solución

31.21 = 40 sin (25 g)

Solución

g = \frac{0.89506 \dots}{25} + \frac{2 πn}{25}, g = \frac{π}{25} - \frac{0.89506 \dots}{25} + \frac{2 πn}{25}

+1

Grados

g = 2.05133 \dots^{\circ} + 14. 4^{\circ} n, g = 5.14866 \dots^{\circ} + 14. 4^{\circ} n

Pasos de solución

31.21 = 40 sin (25 g)

Intercambiar lados

40 sin (25 g) = 31.21

Dividir ambos lados entre

40

40 sin (25 g) = 31.21

Dividir ambos lados entre

40

\frac{40 sin ( 25 g )}{40} = \frac{31.21}{40}

Simplificar

sin (25 g) = 0.78025

sin (25 g) = 0.78025

Aplicar propiedades trigonométricas inversas

sin (25 g) = 0.78025

Soluciones generales para

sin (25 g) = 0.78025

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

25 g = arcsin (0.78025) + 2 πn, 25 g = π - arcsin (0.78025) + 2 πn

25 g = arcsin (0.78025) + 2 πn, 25 g = π - arcsin (0.78025) + 2 πn

Resolver

25 g = arcsin (0.78025) + 2 πn : g = \frac{arcsin ( 0.78025 )}{25} + \frac{2 πn}{25}

25 g = arcsin (0.78025) + 2 πn

Dividir ambos lados entre

25

25 g = arcsin (0.78025) + 2 πn

Dividir ambos lados entre

25

\frac{25 g}{25} = \frac{arcsin ( 0.78025 )}{25} + \frac{2 πn}{25}

Simplificar

g = \frac{arcsin ( 0.78025 )}{25} + \frac{2 πn}{25}

g = \frac{arcsin ( 0.78025 )}{25} + \frac{2 πn}{25}

Resolver

25 g = π - arcsin (0.78025) + 2 πn : g = \frac{π}{25} - \frac{arcsin ( 0.78025 )}{25} + \frac{2 πn}{25}

25 g = π - arcsin (0.78025) + 2 πn

Dividir ambos lados entre

25

25 g = π - arcsin (0.78025) + 2 πn

Dividir ambos lados entre

25

\frac{25 g}{25} = \frac{π}{25} - \frac{arcsin ( 0.78025 )}{25} + \frac{2 πn}{25}

Simplificar

g = \frac{π}{25} - \frac{arcsin ( 0.78025 )}{25} + \frac{2 πn}{25}

g = \frac{π}{25} - \frac{arcsin ( 0.78025 )}{25} + \frac{2 πn}{25}

g = \frac{arcsin ( 0.78025 )}{25} + \frac{2 πn}{25}, g = \frac{π}{25} - \frac{arcsin ( 0.78025 )}{25} + \frac{2 πn}{25}

Mostrar soluciones en forma decimal

g = \frac{0.89506 \dots}{25} + \frac{2 πn}{25}, g = \frac{π}{25} - \frac{0.89506 \dots}{25} + \frac{2 πn}{25}

Gráfica

Ejemplos populares

tan(t)= 7/24 ,0<t< pi/2

sin((3pi)/4+1/12 x)=1

sinh(x40)= 30/40