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Popular >

1sin(30)=1.7sin(θ)

Solución

1 sin (3 0^{\circ}) = 1.7 sin (θ)

Solución

θ = 0.29853 \dots + 36 0^{\circ} n, θ = 18 0^{\circ} - 0.29853 \dots + 36 0^{\circ} n

radianes

θ = 0.29853 \dots + 2 πn, θ = π - 0.29853 \dots + 2 πn

Pasos de solución

1 \cdot sin (3 0^{\circ}) = 1.7 sin (θ)

sin (3 0^{\circ}) = \frac{1}{2}

sin (3 0^{\circ})

Utilizar la siguiente identidad trivial:

sin (3 0^{\circ}) = \frac{1}{2}

sin (3 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}

= \frac{1}{2}

= \frac{1}{2}

1 \cdot \frac{1}{2} = 1.7 sin (θ)

Intercambiar lados

1.7 sin (θ) = 1 \cdot \frac{1}{2}

Multiplicar ambos lados por

10

1.7 sin (θ) = 1 \cdot \frac{1}{2}

To eliminate decimal points, multiply by 10 for every digit after the decimal pointThere is one digit to the right of the decimal point, therefore multiply by

10

1.7 sin (θ) \cdot 10 = 1 \cdot \frac{1}{2} \cdot 10

Simplificar

17 sin (θ) = 5

17 sin (θ) = 5

Dividir ambos lados entre

17

17 sin (θ) = 5

Dividir ambos lados entre

17

\frac{17 sin ( θ )}{17} = \frac{5}{17}

Simplificar

sin (θ) = \frac{5}{17}

sin (θ) = \frac{5}{17}

Aplicar propiedades trigonométricas inversas

sin (θ) = \frac{5}{17}

Soluciones generales para

sin (θ) = \frac{5}{17}

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

θ = arcsin (\frac{5}{17}) + 36 0^{\circ} n, θ = 18 0^{\circ} - arcsin (\frac{5}{17}) + 36 0^{\circ} n

θ = arcsin (\frac{5}{17}) + 36 0^{\circ} n, θ = 18 0^{\circ} - arcsin (\frac{5}{17}) + 36 0^{\circ} n

Mostrar soluciones en forma decimal

θ = 0.29853 \dots + 36 0^{\circ} n, θ = 18 0^{\circ} - 0.29853 \dots + 36 0^{\circ} n

Ejemplos populares

sin(x)=\pm 1/(sqrt(2))

sin (x) = \pm \frac{1}{2}

30=211.49-20.96cosh(0.03291765x)

30 = 211.49 - 20.96 cosh (0.03291765 x)

tan(θ)= 2/(-3)

tan (θ) = \frac{2}{- 3}

solvefor x,z=arcsin((xy)/(x^2+y^2))resolver para

x, z = arcsin (\frac{x y}{x ^{2} + y ^{2}})

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

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