sin(x)= 37/64

Lösung

sin (x) = \frac{37}{64}

x = 0.61642 \dots + 2 πn, x = π - 0.61642 \dots + 2 πn

Grad

x = 35.31877 \dots^{\circ} + 36 0^{\circ} n, x = 144.68122 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (x) = \frac{37}{64}

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{37}{64}

Allgemeine Lösung für

sin (x) = \frac{37}{64}

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

x = arcsin (\frac{37}{64}) + 2 πn, x = π - arcsin (\frac{37}{64}) + 2 πn

x = arcsin (\frac{37}{64}) + 2 πn, x = π - arcsin (\frac{37}{64}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.61642 \dots + 2 πn, x = π - 0.61642 \dots + 2 πn

15 cos^{2} (x) + 7 cos (x) - 2 = 0

2 (sin (t))^{2} - sin (t) - 1 = 0

cos (x) = 0.625

0 = 2 cos (x)

- 2 cos (θ) - 3 = 0