cos(θ)= 1/(sqrt(10))

Lösung

cos (θ) = \frac{1}{10}

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

Radianten

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

Schritte zur Lösung

cos (θ) = \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 (θ) = \frac{10}{10}

Wende die Eigenschaften der Trigonometrie an

cos (θ) = \frac{10}{10}

Allgemeine Lösung für

cos (θ) = \frac{10}{10}

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

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

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

Zeige Lösungen in Dezimalform

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

2 = 2 sin (x)

cot (θ) - 3 = 0, 0 \leq θ \leq 2 π

sin (x) = \frac{1}{8}, sin (2 x)

9.2 cos (x) = 6.3

2 sin (3 x) = 0