cos(x)= 5/20

Lösung

cos (x) = \frac{5}{20}

x = 1.31811 \dots + 2 πn, x = 2 π - 1.31811 \dots + 2 πn

Grad

x = 75.52248 \dots^{\circ} + 36 0^{\circ} n, x = 284.47751 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (x) = \frac{5}{20}

Streiche die gemeinsamen Faktoren:

5

cos (x) = \frac{1}{4}

Wende die Eigenschaften der Trigonometrie an

cos (x) = \frac{1}{4}

Allgemeine Lösung für

cos (x) = \frac{1}{4}

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

x = arccos (\frac{1}{4}) + 2 πn, x = 2 π - arccos (\frac{1}{4}) + 2 πn

x = arccos (\frac{1}{4}) + 2 πn, x = 2 π - arccos (\frac{1}{4}) + 2 πn

Zeige Lösungen in Dezimalform

x = 1.31811 \dots + 2 πn, x = 2 π - 1.31811 \dots + 2 πn

sin (x) - 3 cos (x) = 1, 0 \leq x \leq 2 π

arccos (θ) = \frac{5}{7}

cos (θ) = \frac{- 139}{160}

sin (4 x) = \frac{2}{2}

3 cos (x) = 6