cos(θ)=(sqrt(15))/8

Lösung

cos (θ) = \frac{15}{8}

θ = 1.06543 \dots + 2 πn, θ = 2 π - 1.06543 \dots + 2 πn

Grad

θ = 61.04497 \dots^{\circ} + 36 0^{\circ} n, θ = 298.95502 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (θ) = \frac{15}{8}

Wende die Eigenschaften der Trigonometrie an

cos (θ) = \frac{15}{8}

Allgemeine Lösung für

cos (θ) = \frac{15}{8}

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

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

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

Zeige Lösungen in Dezimalform

θ = 1.06543 \dots + 2 πn, θ = 2 π - 1.06543 \dots + 2 πn

sec (x) = \frac{4}{3}

3 csc (θ) + 5 = csc (θ) + 9

\frac{cos ( 2 x )}{sin ( 3 x ) - sin ( x )} - 1 = 0

6 cos (2 x) - cos (x) - 1 = 0

8 cos^{2} (x) - 10 sin (x) - 11 = 0