sin(x)= 5/25

Lösung

sin (x) = \frac{5}{25}

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{5}{25}

Streiche die gemeinsamen Faktoren:

5

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 (x) cot (x) = - \frac{2}{2}

75 cos^{2} (x) - 34 cos (x) + 3 = 0

sin (x) = \frac{5}{10}

tan (3 x + 2 6^{\circ}) = cot (5 x)

sin (x) = \frac{3}{5}, \frac{π}{2} \leq x \leq π