1)-2sin(x+ π/4)=√6/2 ; 2)√2sin(2/(x-1))=0

Question

1)-2sin(x+ π/4)=√6/2 ;
2)√2sin(2/(x-1))=0

Answer 1

1
-2sin(x+ π/4)=√6/2
sin(x+ π/4)=-√6/4
x+π/4=(-1)^(k+1)arcsin√6/4+πk
x=-π/4+(-1)^(k+1)arcsin√6/4+πk,k∈z
2
√2sin(2/(x-1))=0
sin(2/(x-1))=0
2/(x-1)=πk
x-1=2/πk
x=1+2/πk,k∈z