cos(u)= 7/25

Lösung

cos (u) = \frac{7}{25}

u = 1.28700 \dots + 2 πn, u = 2 π - 1.28700 \dots + 2 πn

Grad

u = 73.73979 \dots^{\circ} + 36 0^{\circ} n, u = 286.26020 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (u) = \frac{7}{25}

Wende die Eigenschaften der Trigonometrie an

cos (u) = \frac{7}{25}

Allgemeine Lösung für

cos (u) = \frac{7}{25}

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

u = arccos (\frac{7}{25}) + 2 πn, u = 2 π - arccos (\frac{7}{25}) + 2 πn

u = arccos (\frac{7}{25}) + 2 πn, u = 2 π - arccos (\frac{7}{25}) + 2 πn

Zeige Lösungen in Dezimalform

u = 1.28700 \dots + 2 πn, u = 2 π - 1.28700 \dots + 2 πn

sin (x) + cos (x) = 1, 0 \leq x < 2 π

so l v e f or x, cos^{2} (x + y) = sin^{2} (x + y)

cot^{2} (x) + 3 cot (x) + 2 = cot (x) + 1

a^{2} = b^{2} + c^{2} - 2 b c \cdot cos (x)

3 sin^{2} (X) - cos (X) = 0