Question

Спростить вираз sin a/1+cos a+1+cos a/sin a

Answer 1

$\frac{sinx}{1+cosx} + \frac{1+cosx}{sinx} = \frac{sin^2x+1+cos^2x+2cosx}{sinx(1+cosx)} = \frac{2+2cosx}{sinx(1+cosx)} = \frac{2(1+cosx)}{sinx(1+cosx)} =$$\frac{2}{sinx}$