cos(θ)= 3/(sqrt(11))

Lösung

cos (θ) = \frac{3}{11}

θ = 0.44051 \dots + 2 πn, θ = 2 π - 0.44051 \dots + 2 πn

Radianten

θ = 0.44051 \dots + 6.28318 \dots n, θ = 5.84267 \dots + 6.28318 \dots n

Schritte zur Lösung

cos (θ) = \frac{3}{11}

Vereinfache

\frac{3}{11} : \frac{3 11}{11}

\frac{3}{11}

Multipliziere mit dem Konjugat

\frac{11}{11}

= \frac{3 11}{11 11}

1111 = 11

1111

Wende Radikal Regel an:

a a = a

1111 = 11

= 11

= \frac{3 11}{11}

cos (θ) = \frac{3 11}{11}

Wende die Eigenschaften der Trigonometrie an

cos (θ) = \frac{3 11}{11}

Allgemeine Lösung für

cos (θ) = \frac{3 11}{11}

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

θ = arccos (\frac{3 11}{11}) + 2 πn, θ = 2 π - arccos (\frac{3 11}{11}) + 2 πn

θ = arccos (\frac{3 11}{11}) + 2 πn, θ = 2 π - arccos (\frac{3 11}{11}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 0.44051 \dots + 2 πn, θ = 2 π - 0.44051 \dots + 2 πn

\frac{30}{sin ( 9 0 ^{\circ} )} = \frac{30}{sin ( x )}, x

sin^{4} (x) = sin^{2} (x), 0 \leq x < 2 π

sin (θ) - 0.1 cos (θ) = \frac{6.88}{9.8}

sin (x) = 0.3352

tan^{2} (3 y) - 2 sec (3 y) - 2 = 0