cos(x)= 6/15

Lösung

cos (x) = \frac{6}{15}

x = 1.15927 \dots + 2 πn, x = 2 π - 1.15927 \dots + 2 πn

Grad

x = 66.42182 \dots^{\circ} + 36 0^{\circ} n, x = 293.57817 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (x) = \frac{6}{15}

Streiche die gemeinsamen Faktoren:

3

cos (x) = \frac{2}{5}

Wende die Eigenschaften der Trigonometrie an

cos (x) = \frac{2}{5}

Allgemeine Lösung für

cos (x) = \frac{2}{5}

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

x = arccos (\frac{2}{5}) + 2 πn, x = 2 π - arccos (\frac{2}{5}) + 2 πn

x = arccos (\frac{2}{5}) + 2 πn, x = 2 π - arccos (\frac{2}{5}) + 2 πn

Zeige Lösungen in Dezimalform

x = 1.15927 \dots + 2 πn, x = 2 π - 1.15927 \dots + 2 πn

sin (θ) = \frac{7}{12}

3 cos (2 x) + 2 sin^{2} (x) = 2

so l v e f or x, cos (3 x) = 1

sec (x) + tan (x) = 2

cos (A) = - \frac{1}{2}