cos(θ)=(sqrt(65))/(65)

Lösung

cos (θ) = \frac{65}{65}

θ = 1.44644 \dots + 2 πn, θ = 2 π - 1.44644 \dots + 2 πn

Grad

θ = 82.87498 \dots^{\circ} + 36 0^{\circ} n, θ = 277.12501 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (θ) = \frac{65}{65}

Wende die Eigenschaften der Trigonometrie an

cos (θ) = \frac{65}{65}

Allgemeine Lösung für

cos (θ) = \frac{65}{65}

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

θ = arccos (\frac{65}{65}) + 2 πn, θ = 2 π - arccos (\frac{65}{65}) + 2 πn

θ = arccos (\frac{65}{65}) + 2 πn, θ = 2 π - arccos (\frac{65}{65}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 1.44644 \dots + 2 πn, θ = 2 π - 1.44644 \dots + 2 πn

- sin (x) - sin (x + \frac{π}{3}) = 0

3 sin (x) - cos (x) = - 1

sec (y + \frac{π}{2}) = - 2

4 sin (x) = - 22

cos (x) = \frac{2400}{3200}