sin(x)= 1/(sqrt(10))

Lösung

sin (x) = \frac{1}{10}

x = 0.32175 \dots + 2 πn, x = π - 0.32175 \dots + 2 πn

Radianten

x = 0.32175 \dots + 6.28318 \dots n, x = π - 0.32175 \dots + 6.28318 \dots n

Schritte zur Lösung

sin (x) = \frac{1}{10}

Vereinfache

\frac{1}{10} : \frac{10}{10}

\frac{1}{10}

Multipliziere mit dem Konjugat

\frac{10}{10}

= \frac{1 \cdot 10}{10 10}

1 \cdot 10 = 10

1010 = 10

1010

Wende Radikal Regel an:

a a = a

1010 = 10

= 10

= \frac{10}{10}

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

Wende die Eigenschaften der Trigonometrie an

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

Allgemeine Lösung für

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

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

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

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

Zeige Lösungen in Dezimalform

x = 0.32175 \dots + 2 πn, x = π - 0.32175 \dots + 2 πn

5 sec (θ) - 6 = 0

sec (x) = - 1, - 2 π \leq x \leq 2 π

\frac{1}{cos ( 2 x )} + tan (2 x) = 3 cos (2 x)

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

sin (2 t) = sin (t)