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

Lösung

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

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

Radianten

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

Schritte zur Lösung

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

Wende die Eigenschaften der Trigonometrie an

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

Allgemeine Lösung für

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

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

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

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

Zeige Lösungen in Dezimalform

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

3 sin (x) tan (x) + 3 tan (x) = 0

sin^{2} (2 θ) = 1, - 18 0^{\circ} \leq θ \leq 18 0^{\circ}

cos (A) = \frac{1}{3}

100 = \frac{50}{sin ( \frac{x}{2} )}

tan (2 θ) = \frac{- 2}{1 - 1}