erweitern sin(x)(3sin^2(x)+4cos^2(x))

Lösung

erweitern

sin (x) (3 sin^{2} (x) + 4 cos^{2} (x))

3 sin^{3} (x) + 4 cos^{2} (x) sin (x)

Schritte zur Lösung

sin (x) (3 sin^{2} (x) + 4 cos^{2} (x))

Wende das Distributivgesetz an:

a (b + c) = ab + a c

sin (x) (3 sin^{2} (x) + 4 cos^{2} (x)) = sin (x) \cdot 3 sin^{2} (x) + sin (x) \cdot 4 cos^{2} (x)

= sin (x) \cdot 3 sin^{2} (x) + sin (x) \cdot 4 cos^{2} (x)

Vereinfache

sin (x) \cdot 3 sin^{2} (x) + sin (x) \cdot 4 cos^{2} (x) : 3 sin^{3} (x) + 4 cos^{2} (x) sin (x)

= 3 sin^{3} (x) + 4 cos^{2} (x) sin (x)

s im pl i f y (\frac{1.5 k}{k + 1}) + (\frac{1.5}{( k + 1 ) ( k + 2 )})

s im pl i f y (6 x - 11 + 4)^{2}

e x p an d arcsin (- \frac{4 x}{( 1 + x ^{2} ) ^{2}})

roo t s \frac{a ^{2} b ^{2} c ^{2}}{( x - a ) ( x - b ) ( x - c )}

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