English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

sin(x)=(2(5.510^{-7}))/(3.3610^{-5)}

Solución

sin (x) = \frac{2 ( 5.5 \cdot 1 0 ^{- 7} )}{3.36 \cdot 1 0 ^{- 5}}

x = 0.03274 \dots + 2 πn, x = π - 0.03274 \dots + 2 πn

Radianes

x = 0.03274 \dots + 6.28318 \dots n, x = π - 0.03274 \dots + 6.28318 \dots n

Pasos de solución

sin (x) = \frac{2 ( 5.5 \cdot 1 0 ^{- 7} )}{3.36 \cdot 1 0 ^{- 5}}

Simplificar

\frac{2 \cdot 5.5 \cdot 1 0 ^{- 7}}{3.36 \cdot 1 0 ^{- 5}} : \frac{11}{336}

\frac{2 \cdot 5.5 \cdot 1 0 ^{- 7}}{3.36 \cdot 1 0 ^{- 5}}

Multiplicar los numeros:

2 \cdot 5.5 = 11

= \frac{1 0 ^{- 7} \cdot 11}{1 0 ^{- 5} \cdot 3.36}

Aplicar las leyes de los exponentes:

\frac{x ^{a}}{x ^{b}} = \frac{1}{x ^{b - a}}

\frac{1 0 ^{- 7}}{1 0 ^{- 5}} = \frac{1}{1 0 ^{- 5 - (- 7)}}

= \frac{11}{1 0 ^{- 5 - (- 7)} \cdot 3.36}

Restar:

- 5 - (- 7) = 2

= \frac{11}{1 0 ^{2} \cdot 3.36}

1 0^{2} \cdot 3.36 = 336

1 0^{2} \cdot 3.36

1 0^{2} = 100

= 100 \cdot 3.36

Multiplicar los numeros:

100 \cdot 3.36 = 336

= 336

= \frac{11}{336}

Aplicar propiedades trigonométricas inversas

sin (x) = \frac{11}{336}

Soluciones generales para

sin (x) = \frac{11}{336}

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

x = arcsin (\frac{11}{336}) + 2 πn, x = π - arcsin (\frac{11}{336}) + 2 πn

x = arcsin (\frac{11}{336}) + 2 πn, x = π - arcsin (\frac{11}{336}) + 2 πn

Mostrar soluciones en forma decimal

x = 0.03274 \dots + 2 πn, x = π - 0.03274 \dots + 2 πn