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

Lösung

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

x = 1.24904 \dots + 2 πn, x = 2 π - 1.24904 \dots + 2 πn

Radianten

x = 1.24904 \dots + 6.28318 \dots n, x = 5.03413 \dots + 6.28318 \dots n

Schritte zur Lösung

cos (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}

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

Wende die Eigenschaften der Trigonometrie an

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

Allgemeine Lösung für

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

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

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

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

Zeige Lösungen in Dezimalform

x = 1.24904 \dots + 2 πn, x = 2 π - 1.24904 \dots + 2 πn

so l v e f or u, x = 5 sinh (u)

sin (\frac{π}{2} x) + 1 = 0

3 tan^{2} (x) - tan (x) = 0

3.8 = 11.8 sin (3.92232 \cdot t)

sin (θ) = 0.84802194