cos(x)= 2/(sqrt(29))

Lösung

cos (x) = \frac{2}{29}

x = 1.19028 \dots + 2 πn, x = 2 π - 1.19028 \dots + 2 πn

Radianten

x = 1.19028 \dots + 6.28318 \dots n, x = 5.09289 \dots + 6.28318 \dots n

Schritte zur Lösung

cos (x) = \frac{2}{29}

Vereinfache

\frac{2}{29} : \frac{2 29}{29}

\frac{2}{29}

Multipliziere mit dem Konjugat

\frac{29}{29}

= \frac{2 29}{29 29}

2929 = 29

2929

Wende Radikal Regel an:

a a = a

2929 = 29

= 29

= \frac{2 29}{29}

cos (x) = \frac{2 29}{29}

Wende die Eigenschaften der Trigonometrie an

cos (x) = \frac{2 29}{29}

Allgemeine Lösung für

cos (x) = \frac{2 29}{29}

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

x = arccos (\frac{2 29}{29}) + 2 πn, x = 2 π - arccos (\frac{2 29}{29}) + 2 πn

x = arccos (\frac{2 29}{29}) + 2 πn, x = 2 π - arccos (\frac{2 29}{29}) + 2 πn

Zeige Lösungen in Dezimalform

x = 1.19028 \dots + 2 πn, x = 2 π - 1.19028 \dots + 2 πn

cos (x) = 100

1.58 \cdot sin (3 4^{\circ}) = 1 (sin (θ))

4. 3^{2} = 3. 8^{2} + 6. 3^{2} + 2 (3.8) (6.3) cos (b)

cos^{2} (x) - 4 cos (x) + 4 = 0

csc (θ) = \frac{34}{3}, cos (θ) > 0