vereinfachen tan^2(a)*(2cos^2(a)+sin^2(a)-1)

Lösung

vereinfachen

tan^{2} (a) \cdot (2 cos^{2} (a) + sin^{2} (a) - 1)

sin^{2} (a)

Schritte zur Lösung

tan^{2} (a) (2 cos^{2} (a) + sin^{2} (a) - 1)

Verwende die Pythagoreische Identität:

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

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

= tan^{2} (a) (2 cos^{2} (a) - cos^{2} (a))

cos^{2} (a) tan^{2} (a) = sin^{2} (a)

= sin^{2} (a)

Faktorisiere

2 cos^{2} (a) - cos^{2} (a) : cos^{2} (a)

= sin^{2} (a)

e x p an d 30 + 42

e x p an d P (- 4, 7) y Q (- 10, - 2)

e x p an d \frac{s ^{2} - 8 s + 16}{( s - 5 ) ( s ^{2} - 4 s + 1 )}

e x p an d \frac{4 ( 16 - 3 6 )}{15}

e x p an d \frac{( 0. 5 ^{θ} ( - x ^{- θ} + 5 ^{- θ} ) )}{θ}