csc(x)= 5/2

Lösung

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

x = 0.41151 \dots + 2 πn, x = π - 0.41151 \dots + 2 πn

Grad

x = 23.57817 \dots^{\circ} + 36 0^{\circ} n, x = 156.42182 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

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

Wende die Eigenschaften der Trigonometrie an

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

Allgemeine Lösung für

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

csc (x) = a \Rightarrow x = arccsc (a) + 2 πn, x = π - arccsc (a) + 2 πn

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

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

Zeige Lösungen in Dezimalform

x = 0.41151 \dots + 2 πn, x = π - 0.41151 \dots + 2 πn

csc (x) = \frac{5}{4}

3 cos (2 θ) = 9 cos (θ) - 6

3 cosh (x) + 5 sinh (x) = - 3

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

6 cos (x) = 5