cos(x)= 5/15

Lösung

cos (x) = \frac{5}{15}

x = 1.23095 \dots + 2 πn, x = 2 π - 1.23095 \dots + 2 πn

Grad

x = 70.52877 \dots^{\circ} + 36 0^{\circ} n, x = 289.47122 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (x) = \frac{5}{15}

Streiche die gemeinsamen Faktoren:

5

cos (x) = \frac{1}{3}

Wende die Eigenschaften der Trigonometrie an

cos (x) = \frac{1}{3}

Allgemeine Lösung für

cos (x) = \frac{1}{3}

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

x = arccos (\frac{1}{3}) + 2 πn, x = 2 π - arccos (\frac{1}{3}) + 2 πn

x = arccos (\frac{1}{3}) + 2 πn, x = 2 π - arccos (\frac{1}{3}) + 2 πn

Zeige Lösungen in Dezimalform

x = 1.23095 \dots + 2 πn, x = 2 π - 1.23095 \dots + 2 πn

(cot (θ) + 1) (csc (θ) - \frac{1}{2}) = 0

cos (x) = \frac{50}{86}

cos (θ) = 1.1111111

sin (5 θ) - 17 = - 18

so l v e f or x, z = tan (2 x - y)