(sin(51))/(18)=(sin(c))/(17)

Lösung

\frac{sin ( 5 1 ^{\circ} )}{18} = \frac{sin ( c )}{17}

c = 0.82415 \dots + 36 0^{\circ} n, c = 18 0^{\circ} - 0.82415 \dots + 36 0^{\circ} n

Radianten

c = 0.82415 \dots + 2 πn, c = π - 0.82415 \dots + 2 πn

Schritte zur Lösung

\frac{sin ( 5 1 ^{\circ} )}{18} = \frac{sin ( c )}{17}

Tausche die Seiten

\frac{sin ( c )}{17} = \frac{sin ( 5 1 ^{\circ} )}{18}

Multipliziere beide Seiten mit

17

\frac{sin ( c )}{17} = \frac{sin ( 5 1 ^{\circ} )}{18}

Multipliziere beide Seiten mit

17

\frac{17 sin ( c )}{17} = \frac{17 sin ( 5 1 ^{\circ} )}{18}

Vereinfache

sin (c) = \frac{17 sin ( 5 1 ^{\circ} )}{18}

sin (c) = \frac{17 sin ( 5 1 ^{\circ} )}{18}

Wende die Eigenschaften der Trigonometrie an

sin (c) = \frac{17 sin ( 5 1 ^{\circ} )}{18}

Allgemeine Lösung für

sin (c) = \frac{17 sin ( 5 1 ^{\circ} )}{18}

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

c = arcsin (\frac{17 sin ( 5 1 ^{\circ} )}{18}) + 36 0^{\circ} n, c = 18 0^{\circ} - arcsin (\frac{17 sin ( 5 1 ^{\circ} )}{18}) + 36 0^{\circ} n

c = arcsin (\frac{17 sin ( 5 1 ^{\circ} )}{18}) + 36 0^{\circ} n, c = 18 0^{\circ} - arcsin (\frac{17 sin ( 5 1 ^{\circ} )}{18}) + 36 0^{\circ} n

Zeige Lösungen in Dezimalform

c = 0.82415 \dots + 36 0^{\circ} n, c = 18 0^{\circ} - 0.82415 \dots + 36 0^{\circ} n

0 = \frac{1}{2} cos (82 t) + \frac{1}{8} sin (82 t)

3 cos (x) cot (x) + 7 = 5 csc (x)

- 10 sin (2 x) = 0

sec (x) sin (x) - 3 sin (x) = 0, 0 \leq x \leq 36 0^{\circ}

4 sin (\frac{x}{2}) - 1 = 1