erweitern sec^2(x)(1-sin^2(x)=1)

Lösung

erweitern

sec^{2} (x) (1 - sin^{2} (x) = 1)

sec^{2} (x) - sec^{2} (x) sin^{2} (x) = 1

Schritte zur Lösung

sec^{2} (x) (1 - sin^{2} (x) = 1)

= sec^{2} (x) (1 - 1 = sin^{2} (x))

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = sec^{2} (x), b = 1, c = sin^{2} (x) = 1

sec^{2} (x) \cdot 1 - sec^{2} (x) sin^{2} (x) = 1

1 \cdot sec^{2} (x) - sec^{2} (x) sin^{2} (x) = 1

Multipliziere aus

1 \cdot sec^{2} (x) - sec^{2} (x) sin^{2} (x) : sec^{2} (x) - sec^{2} (x) sin^{2} (x)

sec^{2} (x) - sec^{2} (x) sin^{2} (x) = 1

e x p an d \frac{( u + 1 ) ( u + 4 )}{u - 5}

e x p an d \frac{5 ( 20 + 890 )}{49}

e x p an d \frac{6}{( s ^{2} ( 2 s + 5 ) )}

e x p an d π (n^{2} - 6 n + 9)

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