Question

cos(2x-(П/4))=√2/2

Решите, пожалуйста!

 

 

 

Answer 1

cos(2x-(pi/4))=√2/2
cos(pi/4-2x)=1/√2
cospi/4-cos2x=1/√2
1/√2-cos2x=1/√2
-cos2x=-1/√2+1/√2
-cos2x=0
cos2x=0
2x=pi/2+pik
x=pi/4+pik/2