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Beliebt Trigonometrie >

cos(x)= 100/130

Lösung

cos (x) = \frac{100}{130}

Lösung

x = 0.69315 \dots + 2 πn, x = 2 π - 0.69315 \dots + 2 πn

+1

Grad

x = 39.71513 \dots^{\circ} + 36 0^{\circ} n, x = 320.28486 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (x) = \frac{100}{130}

Streiche die gemeinsamen Faktoren:

10

cos (x) = \frac{10}{13}

Wende die Eigenschaften der Trigonometrie an

cos (x) = \frac{10}{13}

Allgemeine Lösung für

cos (x) = \frac{10}{13}

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

x = arccos (\frac{10}{13}) + 2 πn, x = 2 π - arccos (\frac{10}{13}) + 2 πn

x = arccos (\frac{10}{13}) + 2 πn, x = 2 π - arccos (\frac{10}{13}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.69315 \dots + 2 πn, x = 2 π - 0.69315 \dots + 2 πn

Graph

Beliebte Beispiele

sec^2(θ)-1=0,0<= θ<= 2pi

sec^{2} (θ) - 1 = 0, 0 \leq θ \leq 2 π

2cos^2(θ)-3cos(θ)=0,(3pi)/2 <θ<2pi

2 cos^{2} (θ) - 3 cos (θ) = 0, \frac{3 π}{2} < θ < 2 π

cos (θ) = \frac{9}{17}

-1=(tan(x)-(3/4))/(1+tan(x)(3/4))

- 1 = \frac{tan ( x ) - ( \frac{3}{4} )}{1 + tan ( x ) ( \frac{3}{4} )}

cos (x) = - \frac{15}{13}