cos(θ)= 3/(sqrt(34))

Lösung

cos (θ) = \frac{3}{34}

θ = 1.03037 \dots + 2 πn, θ = 2 π - 1.03037 \dots + 2 πn

Radianten

θ = 1.03037 \dots + 6.28318 \dots n, θ = 5.25280 \dots + 6.28318 \dots n

Schritte zur Lösung

cos (θ) = \frac{3}{34}

Vereinfache

\frac{3}{34} : \frac{3 34}{34}

\frac{3}{34}

Multipliziere mit dem Konjugat

\frac{34}{34}

= \frac{3 34}{34 34}

3434 = 34

3434

Wende Radikal Regel an:

a a = a

3434 = 34

= 34

= \frac{3 34}{34}

cos (θ) = \frac{3 34}{34}

Wende die Eigenschaften der Trigonometrie an

cos (θ) = \frac{3 34}{34}

Allgemeine Lösung für

cos (θ) = \frac{3 34}{34}

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

θ = arccos (\frac{3 34}{34}) + 2 πn, θ = 2 π - arccos (\frac{3 34}{34}) + 2 πn

θ = arccos (\frac{3 34}{34}) + 2 πn, θ = 2 π - arccos (\frac{3 34}{34}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 1.03037 \dots + 2 πn, θ = 2 π - 1.03037 \dots + 2 πn

tan (θ) + cot (θ) = \frac{4}{3}

sec (x) + 4 cos (x) = 5

- 3 sec (x) = 2

3 cos (x) csc (x) = 23 cos (x)

cos (2 x) = \frac{9}{41}