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Beliebt Trigonometrie >

sin^2(t)sin(t)=0

Lösung

sin^{2} (t) sin (t) = 0

Lösung

t = 2 πn, t = π + 2 πn

+1

Grad

t = 0^{\circ} + 36 0^{\circ} n, t = 18 0^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin^{2} (t) sin (t) = 0

Vereinfache

sin^{2} (t) sin (t) : sin^{3} (t)

sin^{2} (t) sin (t)

Wende Exponentenregel an:

a^{b} \cdot a^{c} = a^{b + c}

sin^{2} (t) sin (t) = sin^{2 + 1} (t)

= sin^{2 + 1} (t)

Addiere die Zahlen:

2 + 1 = 3

= sin^{3} (t)

sin^{3} (t) = 0

Wende Regel an

x^{n} = 0 \Rightarrow x = 0

sin (t) = 0

Allgemeine Lösung für

sin (t) = 0

sin (x)

Periodizitätstabelle mit

2 πn

Zyklus:

t = 0 + 2 πn, t = π + 2 πn

t = 0 + 2 πn, t = π + 2 πn

Löse

t = 0 + 2 πn : t = 2 πn

t = 0 + 2 πn

0 + 2 πn = 2 πn

t = 2 πn

t = 2 πn, t = π + 2 πn

Graph

Beliebte Beispiele

cos(x)= 100/130

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

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} )}