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Beliebt Trigonometrie >

tan^2(45+(x/2))=4.137131

Lösung

tan^{2} (4 5^{\circ} + (\frac{x}{2})^{\circ}) = 4.137131

Lösung

Keine L \overset{o}{¨} sung f \overset{u}{¨} r x \in R

Schritte zur Lösung

tan^{2} (4 5^{\circ} + (\frac{x}{2})^{\circ}) = 4.137131

Löse mit Substitution

tan^{2} (4 5^{\circ} + (\frac{x}{2})^{\circ}) = 4.137131

Angenommen:

tan (4 5^{\circ} + (\frac{x}{2})^{\circ}) = u

u^{2} = 4.137131

u^{2} = 4.137131 : u = 4.137131, u = - 4.137131

u^{2} = 4.137131

Für

x^{2} = f (a)

sind die Lösungen

x = f (a), - f (a)

u = 4.137131, u = - 4.137131

Setze in

u = tan (4 5^{\circ} + (\frac{x}{2})^{\circ})

ein

tan (4 5^{\circ} + (\frac{x}{2})^{\circ}) = 4.137131, tan (4 5^{\circ} + (\frac{x}{2})^{\circ}) = - 4.137131

tan (4 5^{\circ} + (\frac{x}{2})^{\circ}) = 4.137131, tan (4 5^{\circ} + (\frac{x}{2})^{\circ}) = - 4.137131

tan (4 5^{\circ} + (\frac{x}{2})^{\circ}) = 4.137131 :

Keine Lösung

tan (4 5^{\circ} + (\frac{x}{2})^{\circ}) = 4.137131

Wende die Eigenschaften der Trigonometrie an

tan (4 5^{\circ} + (\frac{x}{2})^{\circ}) = 4.137131

Allgemeine Lösung für

tan (4 5^{\circ} + (\frac{x}{2})^{\circ}) = 4.137131

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

4 5^{\circ} + (\frac{x}{2})^{\circ} = arctan (4.137131) + 18 0^{\circ} n

4 5^{\circ} + (\frac{x}{2})^{\circ} = arctan (4.137131) + 18 0^{\circ} n

Keine L \overset{o}{¨} sung

tan (4 5^{\circ} + (\frac{x}{2})^{\circ}) = - 4.137131 :

Keine Lösung

tan (4 5^{\circ} + (\frac{x}{2})^{\circ}) = - 4.137131

Wende die Eigenschaften der Trigonometrie an

tan (4 5^{\circ} + (\frac{x}{2})^{\circ}) = - 4.137131

Allgemeine Lösung für

tan (4 5^{\circ} + (\frac{x}{2})^{\circ}) = - 4.137131

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

4 5^{\circ} + (\frac{x}{2})^{\circ} = arctan (- 4.137131) + 18 0^{\circ} n

4 5^{\circ} + (\frac{x}{2})^{\circ} = arctan (- 4.137131) + 18 0^{\circ} n

Keine L \overset{o}{¨} sung

Kombiniere alle Lösungen

Keine L \overset{o}{¨} sung f \overset{u}{¨} r x \in R

Graph

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