sin(x)= 3/(sqrt(58))

Lösung

sin (x) = \frac{3}{58}

x = 0.40489 \dots + 2 πn, x = π - 0.40489 \dots + 2 πn

Radianten

x = 0.40489 \dots + 6.28318 \dots n, x = π - 0.40489 \dots + 6.28318 \dots n

Schritte zur Lösung

sin (x) = \frac{3}{58}

Vereinfache

\frac{3}{58} : \frac{3 58}{58}

\frac{3}{58}

Multipliziere mit dem Konjugat

\frac{58}{58}

= \frac{3 58}{58 58}

5858 = 58

5858

Wende Radikal Regel an:

a a = a

5858 = 58

= 58

= \frac{3 58}{58}

sin (x) = \frac{3 58}{58}

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{3 58}{58}

Allgemeine Lösung für

sin (x) = \frac{3 58}{58}

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

x = arcsin (\frac{3 58}{58}) + 2 πn, x = π - arcsin (\frac{3 58}{58}) + 2 πn

x = arcsin (\frac{3 58}{58}) + 2 πn, x = π - arcsin (\frac{3 58}{58}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.40489 \dots + 2 πn, x = π - 0.40489 \dots + 2 πn

cos (2 x + 1) = 0

cos (4 x) = \frac{- 3}{2}

(sec (x))^{2} = 0

3 cos (x) sin (x) = sin (x)

2 \cdot sin (x) = sin (2 x)