cos(x)= 8/17

Lösung

cos (x) = \frac{8}{17}

x = 1.08083 \dots + 2 πn, x = 2 π - 1.08083 \dots + 2 πn

Grad

x = 61.92751 \dots^{\circ} + 36 0^{\circ} n, x = 298.07248 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (x) = \frac{8}{17}

Wende die Eigenschaften der Trigonometrie an

cos (x) = \frac{8}{17}

Allgemeine Lösung für

cos (x) = \frac{8}{17}

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

x = arccos (\frac{8}{17}) + 2 πn, x = 2 π - arccos (\frac{8}{17}) + 2 πn

x = arccos (\frac{8}{17}) + 2 πn, x = 2 π - arccos (\frac{8}{17}) + 2 πn

Zeige Lösungen in Dezimalform

x = 1.08083 \dots + 2 πn, x = 2 π - 1.08083 \dots + 2 πn

tan (θ) = - \frac{3}{2}

6 cos^{2} (θ) + 13 cos (θ) + 5 = 0

- 2 cos (x) sin (x) = 0

5 (cos (θ) + 1) = 5

sin (2 x) + \frac{3}{2} = 0