erweitern sec(θ)(1-sin^2(θ)=cos(θ))

Lösung

erweitern

sec (θ) (1 - sin^{2} (θ) = cos (θ))

sec (θ) - sin^{2} (θ) sec (θ) = cos (θ)

Schritte zur Lösung

sec (θ) (1 - sin^{2} (θ) = cos (θ))

= sec (θ) (1 - = sin^{2} (θ) cos (θ))

Wende das Distributivgesetz an:

a (b - c) = ab - a c

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

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

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

Multipliziere aus

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

sec (θ) - sin^{2} (θ) sec (θ) = cos (θ)

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

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

e x p an d \frac{x - 7}{( x + 1 ) ( x - 2 )}

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

e x p an d sin ((x + y) sin (x - y))