sin(x)= 12/60

Lösung

sin (x) = \frac{12}{60}

x = 0.20135 \dots + 2 πn, x = π - 0.20135 \dots + 2 πn

Grad

x = 11.53695 \dots^{\circ} + 36 0^{\circ} n, x = 168.46304 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (x) = \frac{12}{60}

Streiche die gemeinsamen Faktoren:

12

sin (x) = \frac{1}{5}

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{1}{5}

Allgemeine Lösung für

sin (x) = \frac{1}{5}

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

x = arcsin (\frac{1}{5}) + 2 πn, x = π - arcsin (\frac{1}{5}) + 2 πn

x = arcsin (\frac{1}{5}) + 2 πn, x = π - arcsin (\frac{1}{5}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.20135 \dots + 2 πn, x = π - 0.20135 \dots + 2 πn

sin (8 x) = \frac{1}{2}

1 + sin^{2} (x) + cos^{4} (x) = 0

7 \cdot sin^{2} (x) + cos^{2} (x) - 1 = 6 sin (x)

4 sec^{2} (x) - 3 tan^{2} (x) = 5 tan^{2} (x)

cos^{3} (x) = 66