sin(θ)= 7/10

Lösung

sin (θ) = \frac{7}{10}

θ = 0.77539 \dots + 2 πn, θ = π - 0.77539 \dots + 2 πn

Grad

θ = 44.42700 \dots^{\circ} + 36 0^{\circ} n, θ = 135.57299 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (θ) = \frac{7}{10}

Wende die Eigenschaften der Trigonometrie an

sin (θ) = \frac{7}{10}

Allgemeine Lösung für

sin (θ) = \frac{7}{10}

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

θ = arcsin (\frac{7}{10}) + 2 πn, θ = π - arcsin (\frac{7}{10}) + 2 πn

θ = arcsin (\frac{7}{10}) + 2 πn, θ = π - arcsin (\frac{7}{10}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 0.77539 \dots + 2 πn, θ = π - 0.77539 \dots + 2 πn

tan (5 x) = 1

sec (5 x) = 2

5 sin (θ) - 1 = 3 sin (θ)

2 cos^{2} (w) - cos (w) - 1 = 0

3 csc (θ) - 3 = 0