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

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

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

expand

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

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

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

Simplify

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

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

x (1 - \frac{4}{x + 3})

(1 + \frac{2}{3} x)^{6} (3 + 6 x)^{2}

sin^{2} (x) (1 + cos (x))

(1 + 3)^{5}

(- 3 + 3 i)^{5}

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