cos(x)= 8/15

Lösung

cos (x) = \frac{8}{15}

x = 1.00826 \dots + 2 πn, x = 2 π - 1.00826 \dots + 2 πn

Grad

x = 57.76904 \dots^{\circ} + 36 0^{\circ} n, x = 302.23095 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (x) = \frac{8}{15}

Wende die Eigenschaften der Trigonometrie an

cos (x) = \frac{8}{15}

Allgemeine Lösung für

cos (x) = \frac{8}{15}

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

x = arccos (\frac{8}{15}) + 2 πn, x = 2 π - arccos (\frac{8}{15}) + 2 πn

x = arccos (\frac{8}{15}) + 2 πn, x = 2 π - arccos (\frac{8}{15}) + 2 πn

Zeige Lösungen in Dezimalform

x = 1.00826 \dots + 2 πn, x = 2 π - 1.00826 \dots + 2 πn

sin (4 k - 22) = cos (6 k - 13)

cos (2 x) csc^{2} (x) = 2 cos (2 x)

2 tan (x) sin (x) = 3 tan (x)

tan (x) = - 2 + 1

cos (x) = 0.914