erweitern sin(x)cos(x)(sec(x)+cot(x))

Lösung

erweitern

sin (x) cos (x) (sec (x) + cot (x))

sin (x) + cos (x) cot (x) sin (x)

Schritte zur Lösung

sin (x) cos (x) (sec (x) + cot (x))

= cos (x) sin (x) (sec (x) + cot (x))

Wende das Distributivgesetz an:

a (b + c) = ab + a c

cos (x) sin (x) (sec (x) + cot (x)) = cos (x) sin (x) sec (x) + cos (x) sin (x) cot (x)

= cos (x) sin (x) sec (x) + cos (x) sin (x) cot (x)

Vereinfache

cos (x) sin (x) sec (x) + cos (x) sin (x) cot (x) : sin (x) + cos (x) cot (x) sin (x)

= sin (x) + cos (x) cot (x) sin (x)

s im pl i f y x (1 - \frac{4}{x + 3})

e x p an d (1 + \frac{2}{3} x)^{6} (3 + 6 x)^{2}

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

e x p an d (1 + 3)^{5}

s im pl i f y (- 3 + 3 i)^{5}