0.32=0.59406cos(x)

Lösung

0.32 = 0.59406 cos (x)

x = 1.00194 \dots + 2 πn, x = 2 π - 1.00194 \dots + 2 πn

Grad

x = 57.40711 \dots^{\circ} + 36 0^{\circ} n, x = 302.59288 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

0.32 = 0.59406 cos (x)

Tausche die Seiten

0.59406 cos (x) = 0.32

Teile beide Seiten durch

0.59406

0.59406 cos (x) = 0.32

Teile beide Seiten durch

0.59406

\frac{0.59406 cos ( x )}{0.59406} = \frac{0.32}{0.59406}

Vereinfache

cos (x) = \frac{0.32}{0.59406}

cos (x) = \frac{0.32}{0.59406}

Wende die Eigenschaften der Trigonometrie an

cos (x) = \frac{0.32}{0.59406}

Allgemeine Lösung für

cos (x) = \frac{0.32}{0.59406}

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

x = arccos (\frac{0.32}{0.59406}) + 2 πn, x = 2 π - arccos (\frac{0.32}{0.59406}) + 2 πn

x = arccos (\frac{0.32}{0.59406}) + 2 πn, x = 2 π - arccos (\frac{0.32}{0.59406}) + 2 πn

Zeige Lösungen in Dezimalform

x = 1.00194 \dots + 2 πn, x = 2 π - 1.00194 \dots + 2 πn

so l v e f or x, 4 cos (x) = 0

sec (3 x) = - \frac{2 3}{3}

cos (x) + (1 - cos^{2} (x)) 2 = 0

2 cos (3 θ) = 0

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