Question

Спростіть вираз ctg a/sin a cos a -1

Answer 1

$ttdisplaystylefrac{ctg(a)}{sin(a)cdot cos(a)} - 1=frac{displaystylefrac{cos(a)}{sin(a)}}{sin(a)cdot cos(a)} - 1=frac{cos(a)}{sin(a)cdot sin(a)cdot cos(a)}-1=\\\=frac{1 - sin^2(a)}{sin^2(a)}=frac{cos^2(a)}{sin^2(a)}=ctg^2(a)$

Answer 2

ctg²(a) ))