Answer:
Step-by-step explanation:
As we have,
2sinxcosy = sin(x + y) + sin(x - y)
[tex]=2sin70cos20\\\\=sin(70 + 20) + sin(70 - 20)\\\\=sin90 + sin50[/tex]
Hence, LHS=RHS
LHS = RHS
[tex]2sinxcosy = sin(x + y) + sin(x - y)[/tex]
[tex]= 2sin70cos20[/tex]
[tex] = sin (70+ 20) + sin(70 - 20)[/tex]
[tex]=sin90+ sin50[/tex]
Hence, Proved
