What is expand sin(x)cos(x)(cot(x)+sec(x)) ?

The solution to expand sin(x)cos(x)(cot(x)+sec(x)) is sin(x)+cos(x)cot(x)sin(x)

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expand sin(x)cos(x)(cot(x)+sec(x))

expand

sin (x) cos (x) (cot (x) + sec (x))

sin (x) + cos (x) cot (x) sin (x)

Solution steps

sin (x) cos (x) (cot (x) + sec (x))

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

Simplify

cos (x) sin (x) cot (x) + cos (x) sin (x) sec (x) : sin (x) + cos (x) cot (x) sin (x)

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

- \frac{2 ( - x ^{3} - 3 x ^{2} + 9 x + 3 )}{( x ^{2} + 3 ) ^{3}}

(1 + \frac{1}{3} x)^{9}

(5 - 1 + r) r

(x - 2 - 2) \cdot (x - 2 + 2)

What is expand sin(x)cos(x)(cot(x)+sec(x)) ?
The solution to expand sin(x)cos(x)(cot(x)+sec(x)) is sin(x)+cos(x)cot(x)sin(x)