Consider the expression 2√ 3 cos (x) csc (x) + 4cos (x) - 3csc (x) - 2 √ 3 This expression can be represented as the product of the factors ...

The answer:

let be A (x) = 2√ 3 cos (x) csc (x) + 4cos (x) - 3csc (x) - 2 √ 3

this function can be represented as the product of the factors

proof

2√ 3 cos (x) csc (x) + 4cos (x) - 3csc (x) - 2 √ 3 =

2√ 3 cos (x) csc (x) + 4cos (x) csc (x) / csc (x) - 3csc (x) - 2 √ 3 csc (x) / csc (x)

this method doesn't change nothing inside the function A (x)

so we have

[ 2√ 3 cos (x) + 4cos (x) / csc (x) - 3 - 2 √ 3 / csc (x) ]. csc (x) this is a product of two factors,

[ 2√ 3 cos (x) + 4cos (x) / csc (x) - 3 - 2 √ 3 / csc (x) ] and csc (x)

for more explanation

A (x) = [ 2√ 3 cos (x) - 3 + (4cos (x) - 2 √ 3) / csc (x) ]. csc (x)