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31.91cos(x)=20.48

Lösung

31.91 cos (x) = 20.48

x = 0.87394 \dots + 2 πn, x = 2 π - 0.87394 \dots + 2 πn

Grad

x = 50.07344 \dots^{\circ} + 36 0^{\circ} n, x = 309.92655 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

31.91 cos (x) = 20.48

Multipliziere beide Seiten mit

100

31.91 cos (x) = 20.48

To eliminate decimal points, multiply by 10 for every digit after the decimal pointThere are

2

digits to the right of the decimal point, therefore multiply by

100

31.91 cos (x) \cdot 100 = 20.48 \cdot 100

Fasse zusammen

3191 cos (x) = 2048

3191 cos (x) = 2048

Teile beide Seiten durch

3191

3191 cos (x) = 2048

Teile beide Seiten durch

3191

\frac{3191 cos ( x )}{3191} = \frac{2048}{3191}

Vereinfache

cos (x) = \frac{2048}{3191}

cos (x) = \frac{2048}{3191}

Wende die Eigenschaften der Trigonometrie an

cos (x) = \frac{2048}{3191}

Allgemeine Lösung für

cos (x) = \frac{2048}{3191}

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

x = arccos (\frac{2048}{3191}) + 2 πn, x = 2 π - arccos (\frac{2048}{3191}) + 2 πn

x = arccos (\frac{2048}{3191}) + 2 πn, x = 2 π - arccos (\frac{2048}{3191}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.87394 \dots + 2 πn, x = 2 π - 0.87394 \dots + 2 πn

0 = cos (20 t) - cos (20.02 t)

2 tan (2 x - 10) = 3.4641

12 cos (\frac{π}{3} x) + 8 = 0

\frac{sin ( 4 5 ^{\circ} )}{497.01} = \frac{sin ( x )}{450}

\frac{35}{sin ( A )} = \frac{60}{sin ( 2 5 ^{\circ} )}