sin(x)= 7/13

Lösung

sin (x) = \frac{7}{13}

x = 0.56861 \dots + 2 πn, x = π - 0.56861 \dots + 2 πn

Grad

x = 32.57897 \dots^{\circ} + 36 0^{\circ} n, x = 147.42102 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (x) = \frac{7}{13}

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{7}{13}

Allgemeine Lösung für

sin (x) = \frac{7}{13}

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

x = arcsin (\frac{7}{13}) + 2 πn, x = π - arcsin (\frac{7}{13}) + 2 πn

x = arcsin (\frac{7}{13}) + 2 πn, x = π - arcsin (\frac{7}{13}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.56861 \dots + 2 πn, x = π - 0.56861 \dots + 2 πn

cos (x) + 2 cos (x + 24 0^{\circ}) = 1

cos (x π) = 0

sin^{2} (2 x) = \frac{3}{4}

sin (θ) = cos (13 0^{\circ})

3 cot (x) + 2 = 5