sin(x)=(1.2)/(sqrt(10))

Lösung

sin (x) = \frac{1.2}{10}

x = 0.38922 \dots + 2 πn, x = π - 0.38922 \dots + 2 πn

Radianten

x = 0.38922 \dots + 6.28318 \dots n, x = π - 0.38922 \dots + 6.28318 \dots n

Schritte zur Lösung

sin (x) = \frac{1.2}{10}

Vereinfache

\frac{1.2}{10} : \frac{10 \cdot 1.2}{10}

\frac{1.2}{10}

Multipliziere mit dem Konjugat

\frac{10}{10}

= \frac{1.2 10}{10 10}

1010 = 10

1010

Wende Radikal Regel an:

a a = a

1010 = 10

= 10

= \frac{10 \cdot 1.2}{10}

sin (x) = \frac{10 \cdot 1.2}{10}

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{10 \cdot 1.2}{10}

Allgemeine Lösung für

sin (x) = \frac{10 \cdot 1.2}{10}

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

x = arcsin (\frac{10 \cdot 1.2}{10}) + 2 πn, x = π - arcsin (\frac{10 \cdot 1.2}{10}) + 2 πn

x = arcsin (\frac{10 \cdot 1.2}{10}) + 2 πn, x = π - arcsin (\frac{10 \cdot 1.2}{10}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.38922 \dots + 2 πn, x = π - 0.38922 \dots + 2 πn

so l v e f or t, x = - 3 cos (π t)

\frac{- 1}{2} = cos (x)

cos (2 t) - sin (t) = 0.5, 0 \leq t \leq 2 π

sin (2 x) = 0.1

sin (\frac{π}{2} - x) tan (x) = cos (x)