sin(θ)= 35/37

Lösung

sin (θ) = \frac{35}{37}

θ = 1.24049 \dots + 2 πn, θ = π - 1.24049 \dots + 2 πn

Grad

θ = 71.07535 \dots^{\circ} + 36 0^{\circ} n, θ = 108.92464 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (θ) = \frac{35}{37}

Wende die Eigenschaften der Trigonometrie an

sin (θ) = \frac{35}{37}

Allgemeine Lösung für

sin (θ) = \frac{35}{37}

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

θ = arcsin (\frac{35}{37}) + 2 πn, θ = π - arcsin (\frac{35}{37}) + 2 πn

θ = arcsin (\frac{35}{37}) + 2 πn, θ = π - arcsin (\frac{35}{37}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 1.24049 \dots + 2 πn, θ = π - 1.24049 \dots + 2 πn

2 cos^{2} (x) - 7 cos (x) = - 3, 0 \leq x \leq 2 π

sin (x) = sin (9 0^{\circ} - x)

2 sin (2 θ) - 3 - \frac{6}{sin ( 2 θ ) - 1} = 0

sin (a x) = 0

cos (x + 3 0^{\circ}) = 2 cos (x)