cos(x)= 11/61

Lösung

cos (x) = \frac{11}{61}

x = 1.38947 \dots + 2 πn, x = 2 π - 1.38947 \dots + 2 πn

Grad

x = 79.61114 \dots^{\circ} + 36 0^{\circ} n, x = 280.38885 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (x) = \frac{11}{61}

Wende die Eigenschaften der Trigonometrie an

cos (x) = \frac{11}{61}

Allgemeine Lösung für

cos (x) = \frac{11}{61}

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

x = arccos (\frac{11}{61}) + 2 πn, x = 2 π - arccos (\frac{11}{61}) + 2 πn

x = arccos (\frac{11}{61}) + 2 πn, x = 2 π - arccos (\frac{11}{61}) + 2 πn

Zeige Lösungen in Dezimalform

x = 1.38947 \dots + 2 πn, x = 2 π - 1.38947 \dots + 2 πn

- 1 = sec (x)

tan (x) = \frac{59}{36}

3 csc (θ) + 2 = 0, 0 \leq θ \leq 2 π

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

4 cos (t) = 3