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

Lösung

erweitern

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

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

Schritte zur Lösung

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

Multipliziere aus

(tan (x) + sin (x)) cos (x) : cos (x) tan (x) + cos (x) sin (x)

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

cos (x) tan (x) = sin (x)

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

e x p an d \frac{n !}{n ( n - 1 )}

\frac{d}{d t} ((x (t, r)) (r (t - sin (t))))

\frac{d ^{2}}{d x ^{2}} ((y) (cos (π x y) - \frac{1}{x} + \frac{2}{y ^{3}}))

e x p an d sin (x) (1 + tan (x)) + cos (x) (1 + cot (x))

e x p an d 18 \cdot \frac{7}{3}