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Popular Trigonometria >

solvefor x,(-y)/2+sin(x)=0

Solução

resolver para

x, \frac{- y}{2} + sin (x) = 0

Solução

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

Passos da solução

\frac{- y}{2} + sin (x) = 0

Mova

\frac{- y}{2}

para o lado direito

\frac{- y}{2} + sin (x) = 0

Subtrair

\frac{- y}{2}

de ambos os lados

\frac{- y}{2} + sin (x) - \frac{- y}{2} = 0 - \frac{- y}{2}

Simplificar

\frac{- y}{2} + sin (x) - \frac{- y}{2} = 0 - \frac{- y}{2}

Simplificar

\frac{- y}{2} + sin (x) - \frac{- y}{2} : sin (x)

\frac{- y}{2} + sin (x) - \frac{- y}{2}

Somar elementos similares:

\frac{- y}{2} - \frac{- y}{2} = 0

= sin (x)

Simplificar

0 - \frac{- y}{2} : \frac{y}{2}

0 - \frac{- y}{2}

Aplicar as propriedades das frações:

\frac{- a}{b} = - \frac{a}{b}

= 0 - (- \frac{y}{2})

Aplicar a regra

- (- a) = a

= 0 + \frac{y}{2}

0 + \frac{y}{2} = \frac{y}{2}

= \frac{y}{2}

sin (x) = \frac{y}{2}

sin (x) = \frac{y}{2}

sin (x) = \frac{y}{2}

Aplique as propriedades trigonométricas inversas

sin (x) = \frac{y}{2}

Soluções gerais para

sin (x) = \frac{y}{2}

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

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

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

Gráfico

Exemplos populares

cos (a) = 0.33

tan(θ)= 3/(-2)

tan (θ) = \frac{3}{- 2}

4sin^2(r)-sin(r)=0

4 sin^{2} (r) - sin (r) = 0

tan(θ)= 3/(-3)

tan (θ) = \frac{3}{- 3}

cos (a) = 0.24