Question

Решите уравнение:

 

sin2x/1-cosx=2sinx

Answer 1

2sin x cos x -cosx= 2sinx - 1

2sin x cos x - 2sin x -(cos x-1)=0
(2sin x-1)(cos x-1)=0

 

2sin x-1=0       cos x -1=0

2sin x =1        cos x=1

 sin x=1/2        cos x=1.

 

Answer 2

2sin x cos x -cosx= 2sinx - 1

2sin x cos x - 2sin x -(cos x-1)=0
(2sin x-1)(cos x-1)=0

 

2sin x-1=0       cos x -1=0

2sin x =1        cos x=1

 sin x=1/2        cos x=1.