erweitern sec(x)(csc(x)+1)

Lösung

erweitern

sec (x) (csc (x) + 1)

\frac{csc ( x ) + 1}{cos ( x )}

Schritte zur Lösung

sec (x) (csc (x) + 1)

Wende das Distributivgesetz an:

a (b + c) = ab + a c

sec (x) (csc (x) + 1) = sec (x) csc (x) + sec (x) \cdot 1

= sec (x) csc (x) + sec (x) \cdot 1

Vereinfache

sec (x) csc (x) + sec (x) \cdot 1 : \frac{csc ( x ) + 1}{cos ( x )}

= \frac{csc ( x ) + 1}{cos ( x )}

e x p an d \frac{567 π ^{2} + 18 π}{2 ( 63 π + 2 )}

s im pl i f y cos^{2} (x) - cos (2 x) (\frac{1}{2} (1 + cos (4 x)))

e x p an d 16777216 π (\frac{1}{2} ln (2 + 5) + 5)

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

e x p an d (x - 3)^{2} x