sin(θ)= 7/25

Lösung

sin (θ) = \frac{7}{25}

θ = 0.28379 \dots + 2 πn, θ = π - 0.28379 \dots + 2 πn

Grad

θ = 16.26020 \dots^{\circ} + 36 0^{\circ} n, θ = 163.73979 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (θ) = \frac{7}{25}

Wende die Eigenschaften der Trigonometrie an

sin (θ) = \frac{7}{25}

Allgemeine Lösung für

sin (θ) = \frac{7}{25}

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

θ = arcsin (\frac{7}{25}) + 2 πn, θ = π - arcsin (\frac{7}{25}) + 2 πn

θ = arcsin (\frac{7}{25}) + 2 πn, θ = π - arcsin (\frac{7}{25}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 0.28379 \dots + 2 πn, θ = π - 0.28379 \dots + 2 πn

tan (x) = \frac{4}{5}

6 sec (x) csc (x) = 12 csc (x)

2 tan^{2} (θ) + 3 tan (θ) = 0

tan (x) + cot (x) = 2

4 cos^{2} (x) - 4 sin (x) - 5 = 0