tan(x)=tan(40)tan(50)

Lösung

tan (x) = tan (4 0^{\circ}) tan (5 0^{\circ})

x = 0.78539 \dots + 18 0^{\circ} n

Radianten

x = 0.78539 \dots + πn

Schritte zur Lösung

tan (x) = tan (4 0^{\circ}) tan (5 0^{\circ})

Wende die Eigenschaften der Trigonometrie an

tan (x) = tan (4 0^{\circ}) tan (5 0^{\circ})

Allgemeine Lösung für

tan (x) = tan (4 0^{\circ}) tan (5 0^{\circ})

tan (x) = a \Rightarrow x = arctan (a) + 18 0^{\circ} n

x = arctan (tan (4 0^{\circ}) tan (5 0^{\circ})) + 18 0^{\circ} n

x = arctan (tan (4 0^{\circ}) tan (5 0^{\circ})) + 18 0^{\circ} n

Zeige Lösungen in Dezimalform

x = 0.78539 \dots + 18 0^{\circ} n

tan (x) + tan (2 x) = 0

3 cos (2 θ) + 2 = - cos (θ)

cos (x) = \frac{7.2}{9.4}

sin (θ) = - 2 - cos (θ)

sin (2 θ) = 3 cos (2 θ)