sin(x)= 2/(sqrt(5))

Lösung

sin (x) = \frac{2}{5}

x = 1.10714 \dots + 2 πn, x = π - 1.10714 \dots + 2 πn

Radianten

x = 1.10714 \dots + 6.28318 \dots n, x = π - 1.10714 \dots + 6.28318 \dots n

Schritte zur Lösung

sin (x) = \frac{2}{5}

Vereinfache

\frac{2}{5} : \frac{2 5}{5}

\frac{2}{5}

Multipliziere mit dem Konjugat

\frac{5}{5}

= \frac{2 5}{5 5}

55 = 5

55

Wende Radikal Regel an:

a a = a

55 = 5

= 5

= \frac{2 5}{5}

sin (x) = \frac{2 5}{5}

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{2 5}{5}

Allgemeine Lösung für

sin (x) = \frac{2 5}{5}

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

x = arcsin (\frac{2 5}{5}) + 2 πn, x = π - arcsin (\frac{2 5}{5}) + 2 πn

x = arcsin (\frac{2 5}{5}) + 2 πn, x = π - arcsin (\frac{2 5}{5}) + 2 πn

Zeige Lösungen in Dezimalform

x = 1.10714 \dots + 2 πn, x = π - 1.10714 \dots + 2 πn

csc (x) = 5

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

tan^{2} (x) - 3 tan (x) = 0, 0 \leq x < 2 π

tan (θ) = 10

8 sin (θ) - 5 = 3 sin (θ)