cos(x)= 59/95

Lösung

cos (x) = \frac{59}{95}

x = 0.90071 \dots + 2 πn, x = 2 π - 0.90071 \dots + 2 πn

Grad

x = 51.60695 \dots^{\circ} + 36 0^{\circ} n, x = 308.39304 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (x) = \frac{59}{95}

Wende die Eigenschaften der Trigonometrie an

cos (x) = \frac{59}{95}

Allgemeine Lösung für

cos (x) = \frac{59}{95}

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

x = arccos (\frac{59}{95}) + 2 πn, x = 2 π - arccos (\frac{59}{95}) + 2 πn

x = arccos (\frac{59}{95}) + 2 πn, x = 2 π - arccos (\frac{59}{95}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.90071 \dots + 2 πn, x = 2 π - 0.90071 \dots + 2 πn

sin (a) = \frac{5}{9}

sin (x - 2 0^{\circ}) = \frac{1}{2}

cos (5 x) - cos (x) = sin (5 x) - sin (x)

sin (θ) = \frac{8}{17}, cos (θ) = \frac{15}{17}, tan (θ)

tan (x) = \frac{7}{10}