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Beliebt Trigonometrie >

sin(x)= 6/15

Lösung

sin (x) = \frac{6}{15}

Lösung

x = 0.41151 \dots + 2 πn, x = π - 0.41151 \dots + 2 πn

+1

Grad

x = 23.57817 \dots^{\circ} + 36 0^{\circ} n, x = 156.42182 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (x) = \frac{6}{15}

Streiche die gemeinsamen Faktoren:

3

sin (x) = \frac{2}{5}

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{2}{5}

Allgemeine Lösung für

sin (x) = \frac{2}{5}

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

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

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

Zeige Lösungen in Dezimalform

x = 0.41151 \dots + 2 πn, x = π - 0.41151 \dots + 2 πn

Graph

Beliebte Beispiele

cot (θ) = 1.4

75/125 =(cosh(0.2x))/(cosh(0.4x))

\frac{75}{125} = \frac{cosh ( 0.2 x )}{cosh ( 0.4 x )}

3cos(x)+6=cos(x)+5

3 cos (x) + 6 = cos (x) + 5

cos(x)= 1/3 ,(3pi)/2 <x<2pi

cos (x) = \frac{1}{3}, \frac{3 π}{2} < x < 2 π

(2.68)/(sin(126))=(1.2)/(sin(x))

\frac{2.68}{sin ( 12 6 ^{\circ} )} = \frac{1.2}{sin ( x )}