cos(x)= 6/11

Lösung

cos (x) = \frac{6}{11}

x = 0.99386 \dots + 2 πn, x = 2 π - 0.99386 \dots + 2 πn

Grad

x = 56.94426 \dots^{\circ} + 36 0^{\circ} n, x = 303.05573 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (x) = \frac{6}{11}

Wende die Eigenschaften der Trigonometrie an

cos (x) = \frac{6}{11}

Allgemeine Lösung für

cos (x) = \frac{6}{11}

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

x = arccos (\frac{6}{11}) + 2 πn, x = 2 π - arccos (\frac{6}{11}) + 2 πn

x = arccos (\frac{6}{11}) + 2 πn, x = 2 π - arccos (\frac{6}{11}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.99386 \dots + 2 πn, x = 2 π - 0.99386 \dots + 2 πn

3 cos^{2} (x) + 5 sin (x) - 1 = 0

2 cos^{2} (θ) = 7 cos (θ) - 3

sin (θ) = (\frac{173}{210})

\frac{3 tan ^{2} ( x ) - 5}{cos ( x ) + 1} = 0

sin (3 x) = \frac{1}{2}, 0 \leq x \leq 2 π