Question

Simplifique a expressão:

•(tgx + secx) . (cotgx + cossecx)

Answer 1

$(\tan x+\sec x)(\cot x+\csc x)\\\\\tan x.\cot x+\tan x.\csc x+\sec x.\cot x+\sec x.\csc x\\\\\frac{\sin x}{\cos x}.\frac{\cos x}{\sin x}+\frac{\sin x}{\cos x}.\frac{1}{\sin x}+\frac{1}{\cos x}.\frac{\cos x}{\sin x}+\frac{1}{\cos x}.\frac{1}{\sin x}\\\\1+\frac{1}{\cos x}+\frac{1}{\sin x}+\frac{1}{\cos x.\sin x}\\\\\frac{\cos x.\sin x+\sin x+\cos x+1}{\cos x.\sin x}$