sin(θ)=(150N)/(212.6N)(0.9063)

Solución

sin (θ) = \frac{150 N}{212.6 N} (0.9063)

θ = 0.69377 \dots + 2 πn, θ = π - 0.69377 \dots + 2 πn

Radianes

θ = 0.69377 \dots + 6.28318 \dots n, θ = π - 0.69377 \dots + 6.28318 \dots n

Pasos de solución

sin (θ) = \frac{150 N}{212.6 N} (0.9063)

Simplificar

\frac{150 N}{212.6 N} \cdot 0.9063 : \frac{135.945}{212.6}

\frac{150 N}{212.6 N} \cdot 0.9063

\frac{150 N}{212.6 N} = \frac{150}{212.6}

\frac{150 N}{212.6 N}

Eliminar los terminos comunes:

N

= \frac{150}{212.6}

= 0.9063 \cdot \frac{150}{212.6}

Multiplicar fracciones:

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

= \frac{150 \cdot 0.9063}{212.6}

Multiplicar los numeros:

150 \cdot 0.9063 = 135.945

= \frac{135.945}{212.6}

Aplicar propiedades trigonométricas inversas

sin (θ) = \frac{135.945}{212.6}

Soluciones generales para

sin (θ) = \frac{135.945}{212.6}

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

θ = arcsin (\frac{135.945}{212.6}) + 2 πn, θ = π - arcsin (\frac{135.945}{212.6}) + 2 πn

θ = arcsin (\frac{135.945}{212.6}) + 2 πn, θ = π - arcsin (\frac{135.945}{212.6}) + 2 πn

Mostrar soluciones en forma decimal

θ = 0.69377 \dots + 2 πn, θ = π - 0.69377 \dots + 2 πn

3 sin (x) + 4 = 5 cos (x), [0.2 π]

sin (x + \frac{π}{6}) = 0

7 sin (x) + 3 = sin (x) + 2

24 cos (x) = 122

cos (3 x) = \frac{3}{3}