sin(x)= 64/80

Lösung

sin (x) = \frac{64}{80}

x = 0.92729 \dots + 2 πn, x = π - 0.92729 \dots + 2 πn

Grad

x = 53.13010 \dots^{\circ} + 36 0^{\circ} n, x = 126.86989 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (x) = \frac{64}{80}

Streiche die gemeinsamen Faktoren:

16

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

Wende die Eigenschaften der Trigonometrie an

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

Allgemeine Lösung für

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

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

x = arcsin (\frac{4}{5}) + 2 πn, x = π - arcsin (\frac{4}{5}) + 2 πn

x = arcsin (\frac{4}{5}) + 2 πn, x = π - arcsin (\frac{4}{5}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.92729 \dots + 2 πn, x = π - 0.92729 \dots + 2 πn

3 sec (θ) - 7 = 0

cos (θ) (cos (θ) - 2) = 1, - 18 0^{\circ} \leq θ \leq 18 0^{\circ}

sin (3 9^{\circ}) + sin (2 1^{\circ}) = sin (a^{\circ})

arctan (4 x - 4) = - 1

tan^{2} (x + \frac{π}{6}) = 3