Question

(sin⁡a+cos⁡a)/(1+2 sin⁡cos⁡a )=1

Answer 1

$frac{sin a+cosa}{1+2sina cosa} =1$
$frac{sina+cosa}{ (sina+cosa)^{2} } =1$
$frac{1}{ sina+cosa } =1$
$sina +cosa=1$
поделим на косинус a
$tga+1=1$
$tga=0$
$a =0$