Question

Упростите
(1-cos²x)/cos²x-cos2x

Answer 1

$\frac{1-Cos ^{2}x }{Cos ^{2}x-Cos2x }= \frac{Sin ^{2}x }{Cos ^{2}x-(Cos ^{2}x-Sin ^{2}x) } = \frac{Sin ^{2}x }{Cos ^{2} x-Cos ^{2}x+Sin ^{2}x }= \frac{Sin ^{2}x }{Sin ^{2}x }=1$