erweitern sin^2(y)+(cos(y)-tan(y))(cos(y)+tan(y))

Lösung

erweitern

sin^{2} (y) + (cos (y) - tan (y)) (cos (y) + tan (y))

- tan^{2} (y) + 1

Schritte zur Lösung

sin^{2} (y) + (cos (y) - tan (y)) (cos (y) + tan (y))

Schreibe

(cos (y) - tan (y)) (cos (y) + tan (y))

um:

cos^{2} (y) - tan^{2} (y)

= sin^{2} (y) + cos^{2} (y) - tan^{2} (y)

Verwende die Pythagoreische Identität:

cos^{2} (x) + sin^{2} (x) = 1

= - tan^{2} (y) + 1

s im pl i f y (3 x - 2) (3 x + 2)

e x p an d (cos (y) - x sec^{2} (y)) d x - sin (y) d y

e x p an d 5^{3}

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

e x p an d \frac{2 ( x ^{3} - 6 x ^{2} + 12 x - 7 )}{( x - 2 ) ^{3}}