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Beliebt Algebra >

erweitern (1-cos(x))(1+sec(x)cot(x)=sin(x))

Lösung

erweitern

(1 - cos (x)) (1 + sec (x) cot (x) = sin (x))

Lösung

1 + sec (x) cot (x) = sin (x)

Schritte zur Lösung

(1 - cos (x)) (1 + sec (x) cot (x) = sin (x))

= (1 - cos (x)) (1 + = sec (x) cot (x) sin (x))

Wende Ausklammerungsregel an (VANI):

(a + b) (c + d) = a c + a d + b c + b d

a = 1, b = - cos (x), c = 1, d = sec (x) cot (x) = sin (x)

1 \cdot 1 + 1 \cdot sec (x) cot (x) = sin (x) + (- cos (x)) \cdot 1 + (- cos (x)) sec (x) cot (x) = sin (x)

Wende Minus-Plus Regeln an

+ (- a) = - a

1 \cdot 1 + 1 \cdot sec (x) cot (x) = sin (x) - 1 \cdot cos (x) - cos (x) sec (x) cot (x) = sin (x)

Multipliziere aus

1 \cdot 1 + 1 \cdot sec (x) cot (x) : 1 + sec (x) cot (x)

1 + sec (x) cot (x) = sin (x)

Beliebte Beispiele

erweitern x^{1/2}(x-1)

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

vereinfachen (x-11/2)(x-5/2)

s im pl i f y (x - \frac{11}{2}) (x - \frac{5}{2})

erweitern x^{1/2}(x-4)

e x p an d x^{\frac{1}{2}} (x - 4)

vereinfachen (g^2+1/4)(g+1/2)(g-1/2)

s im pl i f y (g^{2} + \frac{1}{4}) (g + \frac{1}{2}) (g - \frac{1}{2})

erweitern (cos(x)-1/3 cos^3(x))cos(x)

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