erweitern (sin(x)+csc(x)+2)/((csc(x)+1)(sin(x)+1))

Lösung

erweitern

\frac{sin ( x ) + csc ( x ) + 2}{( csc ( x ) + 1 ) ( sin ( x ) + 1 )}

1

Schritte zur Lösung

\frac{sin ( x ) + csc ( x ) + 2}{( csc ( x ) + 1 ) ( sin ( x ) + 1 )}

Multipliziere aus

(csc (x) + 1) (sin (x) + 1) : csc (x) sin (x) + csc (x) + sin (x) + 1

= \frac{sin ( x ) + csc ( x ) + 2}{csc ( x ) sin ( x ) + csc ( x ) + sin ( x ) + 1}

csc (x) sin (x) = 1

= \frac{2 + csc ( x ) + sin ( x )}{1 + csc ( x ) + sin ( x ) + 1}

1 + csc (x) + sin (x) + 1 = csc (x) + sin (x) + 2

= \frac{2 + csc ( x ) + sin ( x )}{csc ( x ) + sin ( x ) + 2}

Wende Regel an

\frac{a}{a} = 1

= 1

e x p an d \frac{x}{x ^{2}} - \frac{1}{x ^{2}}

e x p an d \frac{1 - x}{( x + 3 ) ^{2}}

e x p an d (3 x^{2} - 12) \cdot (x + 2 + 2)

e x p an d (cos (x) - 2) (cos (x) + 1)

e x p an d (x + 8 y = 9,) (- 3 x - 5 y = 12)