cos(H)=0.3648447229

Lösung

cos (H) = 0.3648447229

H = 1.19733 \dots + 2 πn, H = 2 π - 1.19733 \dots + 2 πn

Grad

H = 68.60197 \dots^{\circ} + 36 0^{\circ} n, H = 291.39802 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (H) = 0.3648447229

Wende die Eigenschaften der Trigonometrie an

cos (H) = 0.3648447229

Allgemeine Lösung für

cos (H) = 0.3648447229

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

H = arccos (0.3648447229) + 2 πn, H = 2 π - arccos (0.3648447229) + 2 πn

H = arccos (0.3648447229) + 2 πn, H = 2 π - arccos (0.3648447229) + 2 πn

Zeige Lösungen in Dezimalform

H = 1.19733 \dots + 2 πn, H = 2 π - 1.19733 \dots + 2 πn

so l v e f or θ, cos (\frac{θ}{2} + 3 0^{\circ}) = sin (θ)

5 sin^{2} (θ) = 1 + 3 sin^{2} (θ)

5 sin (2 θ) - 8 sin (θ) = 0

tan (θ) = \frac{5 3}{5}

so l v e f or f, r = \frac{8}{sec ( f ^{0} )}