sin(x)= 2/(sqrt(13))

Lösung

sin (x) = \frac{2}{13}

x = 0.58800 \dots + 2 πn, x = π - 0.58800 \dots + 2 πn

Radianten

x = 0.58800 \dots + 6.28318 \dots n, x = π - 0.58800 \dots + 6.28318 \dots n

Schritte zur Lösung

sin (x) = \frac{2}{13}

Vereinfache

\frac{2}{13} : \frac{2 13}{13}

\frac{2}{13}

Multipliziere mit dem Konjugat

\frac{13}{13}

= \frac{2 13}{13 13}

1313 = 13

1313

Wende Radikal Regel an:

a a = a

1313 = 13

= 13

= \frac{2 13}{13}

sin (x) = \frac{2 13}{13}

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{2 13}{13}

Allgemeine Lösung für

sin (x) = \frac{2 13}{13}

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

x = arcsin (\frac{2 13}{13}) + 2 πn, x = π - arcsin (\frac{2 13}{13}) + 2 πn

x = arcsin (\frac{2 13}{13}) + 2 πn, x = π - arcsin (\frac{2 13}{13}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.58800 \dots + 2 πn, x = π - 0.58800 \dots + 2 πn

- sec^{2} (x) = 0

2 cos (x) + 4 cos (4 x) = 0

tan (θ) = \frac{24}{7}

sin (x) = 0.18, 0 \leq x < 2 π

3 cos (x) = sin (x)