csc(θ)= 17/8

Lösung

csc (θ) = \frac{17}{8}

θ = 0.48995 \dots + 2 πn, θ = π - 0.48995 \dots + 2 πn

Grad

θ = 28.07248 \dots^{\circ} + 36 0^{\circ} n, θ = 151.92751 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

csc (θ) = \frac{17}{8}

Wende die Eigenschaften der Trigonometrie an

csc (θ) = \frac{17}{8}

Allgemeine Lösung für

csc (θ) = \frac{17}{8}

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

θ = arccsc (\frac{17}{8}) + 2 πn, θ = π - arccsc (\frac{17}{8}) + 2 πn

θ = arccsc (\frac{17}{8}) + 2 πn, θ = π - arccsc (\frac{17}{8}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 0.48995 \dots + 2 πn, θ = π - 0.48995 \dots + 2 πn

cos (x) = \frac{60}{61}, cos (2 x)

cos (b) = 0.47

tan^{2} (x) - 4 sec (x) = 4

sin (x + 1 0^{\circ}) = - tan (1 5^{\circ})

so l v e f or x, T (7) = 3.15 cos (\frac{π}{6} x) + 19.15