de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt >

sin^2(x)=((6m-5))/6

Lösung

sin^{2} (x) = \frac{( 6 m - 5 )}{6}

Lösung

x = arcsin (\frac{6 m - 5}{6}) + 2 πn, x = π + arcsin (- \frac{6 m - 5}{6}) + 2 πn, x = arcsin (- \frac{6 m - 5}{6}) + 2 πn, x = π + arcsin (\frac{6 m - 5}{6}) + 2 πn

Schritte zur Lösung

sin^{2} (x) = \frac{( 6 m - 5 )}{6}

Löse mit Substitution

sin^{2} (x) = \frac{6 m - 5}{6}

Angenommen:

sin (x) = u

u^{2} = \frac{6 m - 5}{6}

u^{2} = \frac{6 m - 5}{6} : u = \frac{6 m - 5}{6}, u = - \frac{6 m - 5}{6}

u^{2} = \frac{6 m - 5}{6}

Für

x^{2} = f (a)

sind die Lösungen

x = f (a), - f (a)

u = \frac{6 m - 5}{6}, u = - \frac{6 m - 5}{6}

Setze in

u = sin (x)

ein

sin (x) = \frac{6 m - 5}{6}, sin (x) = - \frac{6 m - 5}{6}

sin (x) = \frac{6 m - 5}{6}, sin (x) = - \frac{6 m - 5}{6}

sin (x) = \frac{6 m - 5}{6} : x = arcsin (\frac{6 m - 5}{6}) + 2 πn, x = π + arcsin (- \frac{6 m - 5}{6}) + 2 πn

sin (x) = \frac{6 m - 5}{6}

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{6 m - 5}{6}

Allgemeine Lösung für

sin (x) = \frac{6 m - 5}{6}

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

x = arcsin (\frac{6 m - 5}{6}) + 2 πn, x = π + arcsin (- \frac{6 m - 5}{6}) + 2 πn

x = arcsin (\frac{6 m - 5}{6}) + 2 πn, x = π + arcsin (- \frac{6 m - 5}{6}) + 2 πn

sin (x) = - \frac{6 m - 5}{6} : x = arcsin (- \frac{6 m - 5}{6}) + 2 πn, x = π + arcsin (\frac{6 m - 5}{6}) + 2 πn

sin (x) = - \frac{6 m - 5}{6}

Wende die Eigenschaften der Trigonometrie an

sin (x) = - \frac{6 m - 5}{6}

Allgemeine Lösung für

sin (x) = - \frac{6 m - 5}{6}

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

x = arcsin (- \frac{6 m - 5}{6}) + 2 πn, x = π + arcsin (\frac{6 m - 5}{6}) + 2 πn

x = arcsin (- \frac{6 m - 5}{6}) + 2 πn, x = π + arcsin (\frac{6 m - 5}{6}) + 2 πn

Kombiniere alle Lösungen

x = arcsin (\frac{6 m - 5}{6}) + 2 πn, x = π + arcsin (- \frac{6 m - 5}{6}) + 2 πn, x = arcsin (- \frac{6 m - 5}{6}) + 2 πn, x = π + arcsin (\frac{6 m - 5}{6}) + 2 πn

Graph

Beliebte Beispiele

sin(3x)+sin(x)=2cos^2(x)

sin (3 x) + sin (x) = 2 cos^{2} (x)

sin(x)+cos(pi/2-x)=1

sin (x) + cos (\frac{π}{2} - x) = 1

4sin^2(x)+2sin(x)=2

4 sin^{2} (x) + 2 sin (x) = 2

5cos(x)tan(x)-3tan(x)=0

5 cos (x) tan (x) - 3 tan (x) = 0

csc(θ)=-3/(sqrt(5))

csc (θ) = - \frac{3}{5}