cos(x)= 3/(sqrt(13))

Lösung

cos (x) = \frac{3}{13}

x = 0.58800 \dots + 2 πn, x = 2 π - 0.58800 \dots + 2 πn

Radianten

x = 0.58800 \dots + 6.28318 \dots n, x = 5.69518 \dots + 6.28318 \dots n

Schritte zur Lösung

cos (x) = \frac{3}{13}

Vereinfache

\frac{3}{13} : \frac{3 13}{13}

\frac{3}{13}

Multipliziere mit dem Konjugat

\frac{13}{13}

= \frac{3 13}{13 13}

1313 = 13

1313

Wende Radikal Regel an:

a a = a

1313 = 13

= 13

= \frac{3 13}{13}

cos (x) = \frac{3 13}{13}

Wende die Eigenschaften der Trigonometrie an

cos (x) = \frac{3 13}{13}

Allgemeine Lösung für

cos (x) = \frac{3 13}{13}

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

x = arccos (\frac{3 13}{13}) + 2 πn, x = 2 π - arccos (\frac{3 13}{13}) + 2 πn

x = arccos (\frac{3 13}{13}) + 2 πn, x = 2 π - arccos (\frac{3 13}{13}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.58800 \dots + 2 πn, x = 2 π - 0.58800 \dots + 2 πn

3 tan^{3} (x) - 9 tan (x) = 0

cot (θ) = - 1, cos (θ), 9 0^{\circ} < θ < 18 0^{\circ}

2 sin (3 θ) + 1 = 0, 0 \leq θ \leq 2 π

arctan (x) = - \frac{π}{6}

cos^{2} (x) - 3 cos (x) = 4