What is expand sin(x)cos(x)(csc(x)+tan(x)) ?

The solution to expand sin(x)cos(x)(csc(x)+tan(x)) is cot(x)sin(x)+sin^2(x)

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

expand

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

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

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

Simplify

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

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

Apply the distributive law:

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)

Simplify

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

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

\frac{\frac{d}{d x} ( 2 x ( 2 - x ) )}{( 1 + x ) ^{2}}

\frac{- x ^{2} + 2}{( x ^{2} + 2 ) ^{2}}

(x + i y)^{3} - 2 (x + i y) + 6

(x - 1 + i) (x - 1 - i)

3 x (x y - 2) d x + (x^{3} + 2 y) d y

What is expand sin(x)cos(x)(csc(x)+tan(x)) ?
The solution to expand sin(x)cos(x)(csc(x)+tan(x)) is cot(x)sin(x)+sin^2(x)