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Beliebt Trigonometrie >

sin(x)= 10/25

Lösung

sin (x) = \frac{10}{25}

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{10}{25}

Streiche die gemeinsamen Faktoren:

5

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

(tan(x))/(sin(x))=cos(x)

\frac{tan ( x )}{sin ( x )} = cos (x)

4tan^2(x)+7tan(x)-4=0

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tan(θ)=-1-sqrt(3)

tan (θ) = - 1 - 3

solvefor y,v=(1-4cos(5y))^{-1/2}

so l v e f or y, v = (1 - 4 cos (5 y))^{- \frac{1}{2}}

cos^2(β)= 16/25 ,0<= β<= 2pi

cos^{2} (β) = \frac{16}{25}, 0 \leq β \leq 2 π