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

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

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

expand

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

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

Solution steps

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

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

Apply the distributive law:

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)

Simplify

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

cos (y) d x + (2 x \cdot sin (y) - cos^{3} (y)) d y

(1, - 6) y (- 2, - 3)

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

(1 + x + \frac{x ^{2}}{2}) (x - \frac{x ^{2}}{2} + \frac{x ^{3}}{3})

lo g_{10} (3) (x + 1)

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