Question

Simplifique a expressão trigonométrica cos( x) sec( x) + sen( x) cosec( x).

Answer 1

Sendo cos (x) ≠ 0 e sen (x) ≠ 0, temos:

$\ \ \ cos(x) \cdot sec(x) + sen(x)\cdot cossec (x)\\\\\\ =cos(x) \cdot \frac{1}{cos(x)} + sen(x)\cdot \frac{1}{sen (x)}\\\\\\ =\frac{cos(x)}{cos(x)} + \frac{sen(x)}{sen (x)}\\\\\\=1+1\\\\=2$