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

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

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

expand

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

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

Solution steps

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)

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

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

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

a (6, 5) a B (- 2, - 3)

\frac{( - 10 + x ^{2} + y ^{2} ) ^{2}}{4}

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