sin(x)= 15/19

Lösung

sin (x) = \frac{15}{19}

x = 0.90995 \dots + 2 πn, x = π - 0.90995 \dots + 2 πn

Grad

x = 52.13635 \dots^{\circ} + 36 0^{\circ} n, x = 127.86364 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (x) = \frac{15}{19}

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{15}{19}

Allgemeine Lösung für

sin (x) = \frac{15}{19}

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

x = arcsin (\frac{15}{19}) + 2 πn, x = π - arcsin (\frac{15}{19}) + 2 πn

x = arcsin (\frac{15}{19}) + 2 πn, x = π - arcsin (\frac{15}{19}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.90995 \dots + 2 πn, x = π - 0.90995 \dots + 2 πn

12 cos (x) + 6 sin (2 x) = 0, 0 \leq x \leq 2 π

- 5 = ((sin (x)) (cos (x)))

\frac{179}{sin ( x + 2 0 ^{\circ} )} = \frac{125}{sin ( 12 5 ^{\circ} )}

sin (x) = \frac{15}{12}

sin (z) = 5