sin(a)= 12/13

Lösung

sin (a) = \frac{12}{13}

a = 1.17600 \dots + 2 πn, a = π - 1.17600 \dots + 2 πn

Grad

a = 67.38013 \dots^{\circ} + 36 0^{\circ} n, a = 112.61986 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (a) = \frac{12}{13}

Wende die Eigenschaften der Trigonometrie an

sin (a) = \frac{12}{13}

Allgemeine Lösung für

sin (a) = \frac{12}{13}

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

a = arcsin (\frac{12}{13}) + 2 πn, a = π - arcsin (\frac{12}{13}) + 2 πn

a = arcsin (\frac{12}{13}) + 2 πn, a = π - arcsin (\frac{12}{13}) + 2 πn

Zeige Lösungen in Dezimalform

a = 1.17600 \dots + 2 πn, a = π - 1.17600 \dots + 2 πn

(tan (x) + 1) (sec (x) - 2) = 0

cot^{2} (x) = cot (x)

- sin (x) - 1 = 0

so l v e f or y, x = sec (\frac{1}{y})

sin (x) = \frac{7}{10}