erweitern (sin(x)+tan(x))/(tan(x)(csc(x)+cot(x)))

Lösung

erweitern

\frac{sin ( x ) + tan ( x )}{tan ( x ) ( csc ( x ) + cot ( x ) )}

\frac{sin ( x ) + tan ( x )}{sec ( x ) + 1}

Schritte zur Lösung

\frac{sin ( x ) + tan ( x )}{tan ( x ) ( csc ( x ) + cot ( x ) )}

Multipliziere aus

tan (x) (csc (x) + cot (x)) : tan (x) csc (x) + tan (x) cot (x)

= \frac{sin ( x ) + tan ( x )}{tan ( x ) csc ( x ) + tan ( x ) cot ( x )}

tan (x) csc (x) = sec (x)

tan (x) cot (x) = 1

= \frac{sin ( x ) + tan ( x )}{sec ( x ) + 1}

e x p an d \frac{( 3 x ^{2} - 10 y ^{4} ) ^{2}}{16}

e x p an d (x + c)^{2} + y^{2} + 4 a^{2}

e x p an d \frac{6 x ^{2} - 24 x - 16}{( x - 2 ) ^{2}}

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

e x p an d e^{t} (t^{2} + 2 t - 1)