sin(θ)= 8/10

Lösung

sin (θ) = \frac{8}{10}

θ = 0.92729 \dots + 2 πn, θ = π - 0.92729 \dots + 2 πn

Grad

θ = 53.13010 \dots^{\circ} + 36 0^{\circ} n, θ = 126.86989 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (θ) = \frac{8}{10}

Streiche die gemeinsamen Faktoren:

2

sin (θ) = \frac{4}{5}

Wende die Eigenschaften der Trigonometrie an

sin (θ) = \frac{4}{5}

Allgemeine Lösung für

sin (θ) = \frac{4}{5}

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

θ = arcsin (\frac{4}{5}) + 2 πn, θ = π - arcsin (\frac{4}{5}) + 2 πn

θ = arcsin (\frac{4}{5}) + 2 πn, θ = π - arcsin (\frac{4}{5}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 0.92729 \dots + 2 πn, θ = π - 0.92729 \dots + 2 πn

- 10 = 8 tan (x) + 6

- 4 sin (2 θ) = 5 cos (2 θ), 0^{\circ} \leq 2 θ < 72 0^{\circ}

2 cos (2 x) + cos (x) - 1 = 0

0.79 = sin (x)

1 + cot (x) = csc (x)