cos(x)= 10/21

Lösung

cos (x) = \frac{10}{21}

x = 1.07447 \dots + 2 πn, x = 2 π - 1.07447 \dots + 2 πn

Grad

x = 61.56310 \dots^{\circ} + 36 0^{\circ} n, x = 298.43689 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (x) = \frac{10}{21}

Wende die Eigenschaften der Trigonometrie an

cos (x) = \frac{10}{21}

Allgemeine Lösung für

cos (x) = \frac{10}{21}

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

x = arccos (\frac{10}{21}) + 2 πn, x = 2 π - arccos (\frac{10}{21}) + 2 πn

x = arccos (\frac{10}{21}) + 2 πn, x = 2 π - arccos (\frac{10}{21}) + 2 πn

Zeige Lösungen in Dezimalform

x = 1.07447 \dots + 2 πn, x = 2 π - 1.07447 \dots + 2 πn

3 tan^{2} (θ) + 2 tan (θ) - 3 = 0

sec (x) = \frac{25}{7}

sin (\frac{x}{2}) = \frac{1}{2} sin (x)

csc (2 θ) = \frac{1}{2} (sec (θ)) (cos (θ))

sec^{2} (x) + 2 sec (x) - 8 = 0