cos(x)= 2/pi

Lösung

cos (x) = \frac{2}{π}

x = 0.88068 \dots + 2 πn, x = 2 π - 0.88068 \dots + 2 πn

Grad

x = 50.45977 \dots^{\circ} + 36 0^{\circ} n, x = 309.54022 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (x) = \frac{2}{π}

Wende die Eigenschaften der Trigonometrie an

cos (x) = \frac{2}{π}

Allgemeine Lösung für

cos (x) = \frac{2}{π}

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

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

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

Zeige Lösungen in Dezimalform

x = 0.88068 \dots + 2 πn, x = 2 π - 0.88068 \dots + 2 πn

tan^{2} (x) + 3 tan (x) + 1 = 0

csc (2 x) = 2, 0 \leq x < 2 π

sin (x) + cos (x) = 1.2

30 cos (30 x) + 14 = - 16

so l v e f or x, cot (- x) cos (- x) + sin (- x) = - \frac{1}{f}