Question

Simplifique a expressão y= cotgx+cossecx/senx supondo 0 < x < pi/2

Answer 1

$y = \frac{cotgx \ + \ cossecx}{senx} \\ y = (cotgx \ + \ cossec) . \frac{1}{senx} \\ y = (\frac{cosx}{senx} \ + \ \frac{1}{senx}).\frac{1}{senx} \\ y = \frac{1 \ + \ cosx}{senx}. \frac{1}{senx}\\ y = \frac{1 + cosx}{sen^2x}$