cos(θ)= 4/(sqrt(17))

Lösung

cos (θ) = \frac{4}{17}

θ = 0.24497 \dots + 2 πn, θ = 2 π - 0.24497 \dots + 2 πn

Radianten

θ = 0.24497 \dots + 6.28318 \dots n, θ = 6.03820 \dots + 6.28318 \dots n

Schritte zur Lösung

cos (θ) = \frac{4}{17}

Vereinfache

\frac{4}{17} : \frac{4 17}{17}

\frac{4}{17}

Multipliziere mit dem Konjugat

\frac{17}{17}

= \frac{4 17}{17 17}

1717 = 17

1717

Wende Radikal Regel an:

a a = a

1717 = 17

= 17

= \frac{4 17}{17}

cos (θ) = \frac{4 17}{17}

Wende die Eigenschaften der Trigonometrie an

cos (θ) = \frac{4 17}{17}

Allgemeine Lösung für

cos (θ) = \frac{4 17}{17}

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

θ = arccos (\frac{4 17}{17}) + 2 πn, θ = 2 π - arccos (\frac{4 17}{17}) + 2 πn

θ = arccos (\frac{4 17}{17}) + 2 πn, θ = 2 π - arccos (\frac{4 17}{17}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 0.24497 \dots + 2 πn, θ = 2 π - 0.24497 \dots + 2 πn

- csc^{2} (x) + 2 csc (x) cot (x) = 0

6 sin (A) + 3 = 4 sin (A) + 4

so l v e f or a, - 10 = sin (a) + 15.2 cos (a)

0 = - 6 sin^{2} (θ) + 3 sin (θ) + 2

sin (2 x + \frac{3}{π}) = \frac{1}{2}