cos(x)= 3/(sqrt(10))

Lösung

cos (x) = \frac{3}{10}

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

Radianten

x = 0.32175 \dots + 6.28318 \dots n, x = 5.96143 \dots + 6.28318 \dots n

Schritte zur Lösung

cos (x) = \frac{3}{10}

Vereinfache

\frac{3}{10} : \frac{3 10}{10}

\frac{3}{10}

Multipliziere mit dem Konjugat

\frac{10}{10}

= \frac{3 10}{10 10}

1010 = 10

1010

Wende Radikal Regel an:

a a = a

1010 = 10

= 10

= \frac{3 10}{10}

cos (x) = \frac{3 10}{10}

Wende die Eigenschaften der Trigonometrie an

cos (x) = \frac{3 10}{10}

Allgemeine Lösung für

cos (x) = \frac{3 10}{10}

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

x = arccos (\frac{3 10}{10}) + 2 πn, x = 2 π - arccos (\frac{3 10}{10}) + 2 πn

x = arccos (\frac{3 10}{10}) + 2 πn, x = 2 π - arccos (\frac{3 10}{10}) + 2 πn

Zeige Lösungen in Dezimalform

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

cos (θ) + 3 sin (θ) = 1

tan (x) = \frac{9}{5}

6 tan (x) - 23 = 0

sec (θ) = \frac{5}{4}

2 cos^{3} (x) - cos^{2} (x) = cos (x)