3sin^x+cos^x=2sin^x помогите

Question

3sin^x+cos^x=2sin^x помогите

Answer 1

3sin^x+cos^x=2sin^x  
sinx+cosx=0
cos(π/2-x)+cosx=0   
cos(x)+cos(y) = 2·cos(½(x+y))·cos(½(x-y))
2cos(π/4-x/2+x/2)cos(π/4-x)=0
cos(π/4-x)=0
π/4-x=π/2+πk     x=-π/4-πk   k∈Z