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Popolare Trigonometria >

1= 1/(0.5)sin(x+30)

Soluzione

1 = \frac{1}{0.5} sin (x + 3 0^{\circ})

Soluzione

x = 36 0^{\circ} n, x = 36 0^{\circ} n + 12 0^{\circ}

+1

Radianti

x = 0 + 2 πn, x = \frac{2 π}{3} + 2 πn

Fasi della soluzione

1 = \frac{1}{0.5} sin (x + 3 0^{\circ})

Scambia i lati

\frac{1}{0.5} sin (x + 3 0^{\circ}) = 1

Moltiplica entrambi i lati per

0.5

\frac{1}{0.5} sin (x + 3 0^{\circ}) = 1

Moltiplica entrambi i lati per

0.5

0.5 \cdot \frac{1}{0.5} sin (x + 3 0^{\circ}) = 1 \cdot 0.5

Semplificare

sin (x + 3 0^{\circ}) = 0.5

sin (x + 3 0^{\circ}) = 0.5

Soluzioni generali per

sin (x + 3 0^{\circ}) = 0.5

sin (x)

periodicità tabella con

36 0^{\circ} n

cicli:

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}

x + 3 0^{\circ} = 3 0^{\circ} + 36 0^{\circ} n, x + 3 0^{\circ} = 15 0^{\circ} + 36 0^{\circ} n

x + 3 0^{\circ} = 3 0^{\circ} + 36 0^{\circ} n, x + 3 0^{\circ} = 15 0^{\circ} + 36 0^{\circ} n

Risolvi

x + 3 0^{\circ} = 3 0^{\circ} + 36 0^{\circ} n : x = 36 0^{\circ} n

x + 3 0^{\circ} = 3 0^{\circ} + 36 0^{\circ} n

Sottrarre

3 0^{\circ}

da entrambi i lati

x + 3 0^{\circ} - 3 0^{\circ} = 3 0^{\circ} + 36 0^{\circ} n - 3 0^{\circ}

Semplificare

x = 36 0^{\circ} n

Risolvi

x + 3 0^{\circ} = 15 0^{\circ} + 36 0^{\circ} n : x = 36 0^{\circ} n + 12 0^{\circ}

x + 3 0^{\circ} = 15 0^{\circ} + 36 0^{\circ} n

Spostare

3 0^{\circ}

a destra dell'equazione

x + 3 0^{\circ} = 15 0^{\circ} + 36 0^{\circ} n

Sottrarre

3 0^{\circ}

da entrambi i lati

x + 3 0^{\circ} - 3 0^{\circ} = 15 0^{\circ} + 36 0^{\circ} n - 3 0^{\circ}

Semplificare

x + 3 0^{\circ} - 3 0^{\circ} = 15 0^{\circ} + 36 0^{\circ} n - 3 0^{\circ}

Semplificare

x + 3 0^{\circ} - 3 0^{\circ} : x

x + 3 0^{\circ} - 3 0^{\circ}

Aggiungi elementi simili:

3 0^{\circ} - 3 0^{\circ} = 0

= x

Semplificare

15 0^{\circ} + 36 0^{\circ} n - 3 0^{\circ} : 36 0^{\circ} n + 12 0^{\circ}

15 0^{\circ} + 36 0^{\circ} n - 3 0^{\circ}

Raggruppa termini simili

= 36 0^{\circ} n - 3 0^{\circ} + 15 0^{\circ}

Combinare le frazioni

- 3 0^{\circ} + 15 0^{\circ} : 12 0^{\circ}

Applicare la regola

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

= \frac{- 18 0 ^{\circ} + 90 0 ^{\circ}}{6}

Aggiungi elementi simili:

- 18 0^{\circ} + 90 0^{\circ} = 72 0^{\circ}

= 12 0^{\circ}

Cancella il fattore comune:

2

= 12 0^{\circ}

= 36 0^{\circ} n + 12 0^{\circ}

x = 36 0^{\circ} n + 12 0^{\circ}

x = 36 0^{\circ} n + 12 0^{\circ}

x = 36 0^{\circ} n + 12 0^{\circ}

x = 36 0^{\circ} n, x = 36 0^{\circ} n + 12 0^{\circ}

Grafico

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