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4sin(x-30)-1.3=0

Soluzione

4 sin (x - 3 0^{\circ}) - 1.3 = 0

x = 0.33101 \dots + 36 0^{\circ} n + 3 0^{\circ}, x = 18 0^{\circ} - 0.33101 \dots + 36 0^{\circ} n + 3 0^{\circ}

Radianti

x = 0.33101 \dots + \frac{π}{6} + 2 πn, x = π - 0.33101 \dots + \frac{π}{6} + 2 πn

Fasi della soluzione

4 sin (x - 3 0^{\circ}) - 1.3 = 0

Spostare

1.3

a destra dell'equazione

4 sin (x - 3 0^{\circ}) - 1.3 = 0

Aggiungi

1.3

ad entrambi i lati

4 sin (x - 3 0^{\circ}) - 1.3 + 1.3 = 0 + 1.3

Semplificare

4 sin (x - 3 0^{\circ}) = 1.3

4 sin (x - 3 0^{\circ}) = 1.3

Dividere entrambi i lati per

4

4 sin (x - 3 0^{\circ}) = 1.3

Dividere entrambi i lati per

4

\frac{4 sin ( x - 3 0 ^{\circ} )}{4} = \frac{1.3}{4}

Semplificare

sin (x - 3 0^{\circ}) = 0.325

sin (x - 3 0^{\circ}) = 0.325

Applica le proprietà inverse delle funzioni trigonometriche

sin (x - 3 0^{\circ}) = 0.325

Soluzioni generali per

sin (x - 3 0^{\circ}) = 0.325

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

x - 3 0^{\circ} = arcsin (0.325) + 36 0^{\circ} n, x - 3 0^{\circ} = 18 0^{\circ} - arcsin (0.325) + 36 0^{\circ} n

x - 3 0^{\circ} = arcsin (0.325) + 36 0^{\circ} n, x - 3 0^{\circ} = 18 0^{\circ} - arcsin (0.325) + 36 0^{\circ} n

Risolvi

x - 3 0^{\circ} = arcsin (0.325) + 36 0^{\circ} n : x = arcsin (0.325) + 36 0^{\circ} n + 3 0^{\circ}

x - 3 0^{\circ} = arcsin (0.325) + 36 0^{\circ} n

Spostare

3 0^{\circ}

a destra dell'equazione

x - 3 0^{\circ} = arcsin (0.325) + 36 0^{\circ} n

Aggiungi

3 0^{\circ}

ad entrambi i lati

x - 3 0^{\circ} + 3 0^{\circ} = arcsin (0.325) + 36 0^{\circ} n + 3 0^{\circ}

Semplificare

x = arcsin (0.325) + 36 0^{\circ} n + 3 0^{\circ}

x = arcsin (0.325) + 36 0^{\circ} n + 3 0^{\circ}

Risolvi

x - 3 0^{\circ} = 18 0^{\circ} - arcsin (0.325) + 36 0^{\circ} n : x = 18 0^{\circ} - arcsin (0.325) + 36 0^{\circ} n + 3 0^{\circ}

x - 3 0^{\circ} = 18 0^{\circ} - arcsin (0.325) + 36 0^{\circ} n

Spostare

3 0^{\circ}

a destra dell'equazione

x - 3 0^{\circ} = 18 0^{\circ} - arcsin (0.325) + 36 0^{\circ} n

Aggiungi

3 0^{\circ}

ad entrambi i lati

x - 3 0^{\circ} + 3 0^{\circ} = 18 0^{\circ} - arcsin (0.325) + 36 0^{\circ} n + 3 0^{\circ}

Semplificare

x = 18 0^{\circ} - arcsin (0.325) + 36 0^{\circ} n + 3 0^{\circ}

x = 18 0^{\circ} - arcsin (0.325) + 36 0^{\circ} n + 3 0^{\circ}

x = arcsin (0.325) + 36 0^{\circ} n + 3 0^{\circ}, x = 18 0^{\circ} - arcsin (0.325) + 36 0^{\circ} n + 3 0^{\circ}

Mostra le soluzioni in forma decimale

x = 0.33101 \dots + 36 0^{\circ} n + 3 0^{\circ}, x = 18 0^{\circ} - 0.33101 \dots + 36 0^{\circ} n + 3 0^{\circ}

2 cos (\frac{θ}{2}) = cos (θ) + 1

cos (3 x) + sin (3 x) = 0

\frac{1}{3} = tan (x)

sin (θ) = - \frac{5}{5}

0.9 = cos (x)