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Beliebt >

cos(θ)= 2/(sqrt(3.38^2+2^2))

Lösung

cos (θ) = \frac{2}{3.3 8 ^{2} + 2 ^{2}}

Lösung

θ = 1.03649 \dots + 2 πn, θ = 2 π - 1.03649 \dots + 2 πn

+1

Radianten

θ = 1.03649 \dots + 6.28318 \dots n, θ = 5.24669 \dots + 6.28318 \dots n

Schritte zur Lösung

cos (θ) = \frac{2}{3.3 8 ^{2} + 2 ^{2}}

Vereinfache

\frac{2}{3.3 8 ^{2} + 2 ^{2}} : \frac{2 15.4244}{15.4244}

\frac{2}{3.3 8 ^{2} + 2 ^{2}}

3.3 8^{2} + 2^{2} = 15.4244

3.3 8^{2} + 2^{2}

3.3 8^{2} = 11.4244

= 11.4244 + 2^{2}

2^{2} = 4

= 11.4244 + 4

Addiere die Zahlen:

11.4244 + 4 = 15.4244

= 15.4244

= \frac{2}{15.4244}

Rationalisiere

\frac{2}{15.4244} : \frac{2 15.4244}{15.4244}

\frac{2}{15.4244}

Multipliziere mit dem Konjugat

\frac{15.4244}{15.4244}

= \frac{2 15.4244}{15.4244 15.4244}

15.4244 15.4244 = 15.4244

15.4244 15.4244

Wende Radikal Regel an:

a a = a

15.4244 15.4244 = 15.4244

= 15.4244

= \frac{2 15.4244}{15.4244}

= \frac{2 15.4244}{15.4244}

cos (θ) = \frac{2 15.4244}{15.4244}

Wende die Eigenschaften der Trigonometrie an

cos (θ) = \frac{2 15.4244}{15.4244}

Allgemeine Lösung für

cos (θ) = \frac{2 15.4244}{15.4244}

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

θ = arccos (\frac{2 15.4244}{15.4244}) + 2 πn, θ = 2 π - arccos (\frac{2 15.4244}{15.4244}) + 2 πn

θ = arccos (\frac{2 15.4244}{15.4244}) + 2 πn, θ = 2 π - arccos (\frac{2 15.4244}{15.4244}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 1.03649 \dots + 2 πn, θ = 2 π - 1.03649 \dots + 2 πn

Beliebte Beispiele

3tan(θ)-cot(θ)=5

3 tan (θ) - cot (θ) = 5

cos(x)*sin(x)=1

cos (x) \cdot sin (x) = 1

sqrt(3)tan^2(θ)+2tan(θ)-sqrt(3)=0

3 tan^{2} (θ) + 2 tan (θ) - 3 = 0

sinh (x) = \frac{1}{2}

sin^2(x)*sec(x)=(sin^2(x))/(cot(x))

sin^{2} (x) \cdot sec (x) = \frac{sin ^{2} ( x )}{cot ( x )}