erweitern (1+tan(x)+sec(x))(1+cot(x)-csc(x))

Lösung

erweitern

(1 + tan (x) + sec (x)) (1 + cot (x) - csc (x))

1 + cot (x) - csc (x) + tan (x) + cot (x) tan (x) - csc (x) tan (x) + sec (x) + cot (x) sec (x) - csc (x) sec (x)

Schritte zur Lösung

(1 + tan (x) + sec (x)) (1 + cot (x) - csc (x))

Setze Klammern

= 1 \cdot 1 + 1 \cdot cot (x) + 1 \cdot (- csc (x)) + tan (x) \cdot 1 + tan (x) cot (x) + tan (x) (- csc (x)) + sec (x) \cdot 1 + sec (x) cot (x) + sec (x) (- csc (x))

Vereinfache

1 \cdot 1 + 1 \cdot cot (x) + 1 \cdot (- csc (x)) + tan (x) \cdot 1 + tan (x) cot (x) + tan (x) (- csc (x)) + sec (x) \cdot 1 + sec (x) cot (x) + sec (x) (- csc (x)) : 1 + cot (x) - csc (x) + tan (x) + cot (x) tan (x) - csc (x) tan (x) + sec (x) + cot (x) sec (x) - csc (x) sec (x)

= 1 + cot (x) - csc (x) + tan (x) + cot (x) tan (x) - csc (x) tan (x) + sec (x) + cot (x) sec (x) - csc (x) sec (x)

s im pl i f y (h) (2 x + 2 h + 6 + 2 x + 3)

s im pl i f y (4 - r^{2} + 9 - r^{2})^{2}

e x p an d \frac{( 0.159 + x ) ( 0.1251 + x )}{( 0.5612 - x )}

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

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