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Beliebt Algebra >

erweitern cos(x)sin(x)(tan(x)+csc(x))

Lösung

erweitern

cos (x) sin (x) (tan (x) + csc (x))

Lösung

cot (x) sin (x) + sin^{2} (x)

Schritte zur Lösung

cos (x) sin (x) (tan (x) + csc (x))

Wende das Distributivgesetz an:

a (b + c) = ab + a c

cos (x) sin (x) (tan (x) + csc (x)) = cos (x) sin (x) tan (x) + cos (x) sin (x) csc (x)

= cos (x) sin (x) tan (x) + cos (x) sin (x) csc (x)

Vereinfache

cos (x) sin (x) tan (x) + cos (x) sin (x) csc (x) : sin (x) (cot (x) + sin (x))

= sin (x) (cot (x) + sin (x))

Wende das Distributivgesetz an:

a (b + c) = ab + a c

sin (x) (cot (x) + sin (x)) = sin (x) cot (x) + sin (x) sin (x)

= sin (x) cot (x) + sin (x) sin (x)

Vereinfache

sin (x) cot (x) + sin (x) sin (x) : cot (x) sin (x) + sin^{2} (x)

= cot (x) sin (x) + sin^{2} (x)

Beliebte Beispiele

(\partial)/(\partial x)((z)(3xyz-e^z))

\frac{\partial}{\partial x} ((z) (3 x yz - e^{z}))

erweitern 3/((x+1)^2)

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

erweitern (a+sb)/(s^3(cb-d)+s^2(eb+ac)+s(ea))

e x p an d \frac{a + s b}{s ^{3} ( c b - d ) + s ^{2} ( e b + a c ) + s ( e a )}

erweitern a(6,5)aB(-2,-3)

e x p an d a (6, 5) a B (- 2, - 3)

erweitern ((-10+x^2+y^2)^2)/4

e x p an d \frac{( - 10 + x ^{2} + y ^{2} ) ^{2}}{4}