(sin(S))/(53)=(sin(115))/(83)

Soluzione

\frac{sin ( S )}{53} = \frac{sin ( 11 5 ^{\circ} )}{83}

S = 0.61716 \dots + 36 0^{\circ} n, S = 18 0^{\circ} - 0.61716 \dots + 36 0^{\circ} n

Radianti

S = 0.61716 \dots + 2 πn, S = π - 0.61716 \dots + 2 πn

Fasi della soluzione

\frac{sin ( S )}{53} = \frac{sin ( 11 5 ^{\circ} )}{83}

Moltiplica entrambi i lati per

53

\frac{sin ( S )}{53} = \frac{sin ( 11 5 ^{\circ} )}{83}

Moltiplica entrambi i lati per

53

\frac{53 sin ( S )}{53} = \frac{53 sin ( 11 5 ^{\circ} )}{83}

Semplificare

sin (S) = \frac{53 sin ( 11 5 ^{\circ} )}{83}

sin (S) = \frac{53 sin ( 11 5 ^{\circ} )}{83}

Applica le proprietà inverse delle funzioni trigonometriche

sin (S) = \frac{53 sin ( 11 5 ^{\circ} )}{83}

Soluzioni generali per

sin (S) = \frac{53 sin ( 11 5 ^{\circ} )}{83}

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

S = arcsin (\frac{53 sin ( 11 5 ^{\circ} )}{83}) + 36 0^{\circ} n, S = 18 0^{\circ} - arcsin (\frac{53 sin ( 11 5 ^{\circ} )}{83}) + 36 0^{\circ} n

S = arcsin (\frac{53 sin ( 11 5 ^{\circ} )}{83}) + 36 0^{\circ} n, S = 18 0^{\circ} - arcsin (\frac{53 sin ( 11 5 ^{\circ} )}{83}) + 36 0^{\circ} n

Mostra le soluzioni in forma decimale

S = 0.61716 \dots + 36 0^{\circ} n, S = 18 0^{\circ} - 0.61716 \dots + 36 0^{\circ} n

25 sin^{2} (x) - 10 sin (x) + 1 = 0

4 - 4 sin (θ) = 2

1 - 2 cos (x) = sin^{2} (x)

cos (x) = \frac{84}{98}

cos (\frac{3 θ}{2}) = \frac{1}{2}