cos(θ)= 1/(sqrt(21))

Lösung

cos (θ) = \frac{1}{21}

θ = 1.35080 \dots + 2 πn, θ = 2 π - 1.35080 \dots + 2 πn

Radianten

θ = 1.35080 \dots + 6.28318 \dots n, θ = 4.93237 \dots + 6.28318 \dots n

Schritte zur Lösung

cos (θ) = \frac{1}{21}

Vereinfache

\frac{1}{21} : \frac{21}{21}

\frac{1}{21}

Multipliziere mit dem Konjugat

\frac{21}{21}

= \frac{1 \cdot 21}{21 21}

1 \cdot 21 = 21

2121 = 21

2121

Wende Radikal Regel an:

a a = a

2121 = 21

= 21

= \frac{21}{21}

cos (θ) = \frac{21}{21}

Wende die Eigenschaften der Trigonometrie an

cos (θ) = \frac{21}{21}

Allgemeine Lösung für

cos (θ) = \frac{21}{21}

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

θ = arccos (\frac{21}{21}) + 2 πn, θ = 2 π - arccos (\frac{21}{21}) + 2 πn

θ = arccos (\frac{21}{21}) + 2 πn, θ = 2 π - arccos (\frac{21}{21}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 1.35080 \dots + 2 πn, θ = 2 π - 1.35080 \dots + 2 πn

- \frac{1}{2} = cos (x)

3 sin (x) = sin (3 x)

tan (x) + 3 = 1 + 3 cot (x)

tan (u) - cot (u) = 2

sin (x) sin (x) = 0