sin(a)= 5/13

Lösung

sin (a) = \frac{5}{13}

a = 0.39479 \dots + 2 πn, a = π - 0.39479 \dots + 2 πn

Grad

a = 22.61986 \dots^{\circ} + 36 0^{\circ} n, a = 157.38013 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (a) = \frac{5}{13}

Wende die Eigenschaften der Trigonometrie an

sin (a) = \frac{5}{13}

Allgemeine Lösung für

sin (a) = \frac{5}{13}

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

a = arcsin (\frac{5}{13}) + 2 πn, a = π - arcsin (\frac{5}{13}) + 2 πn

a = arcsin (\frac{5}{13}) + 2 πn, a = π - arcsin (\frac{5}{13}) + 2 πn

Zeige Lösungen in Dezimalform

a = 0.39479 \dots + 2 πn, a = π - 0.39479 \dots + 2 πn

sin (θ) = \frac{- 1}{2}

tan (x) = \frac{12}{5}

3 cot (x) - 3 = 0

2 tan^{2} (θ) + 5 tan (θ) = 0

cos (θ) - 3 sin (θ) = 1