Grade 12Trigonometry
if sin x = 3 sin( x + 2y)then what is the value of tan( x+y ) + 2tan y
if sin x = 3 sin( x + 2y)
then what is the value of tan( x+y ) + 2tan y
1 Answer
Hashan Hasalanka
Sin(x+y-y)=3sin(x+y+y)Sin(x+y)cos(y)-cos(x+y)sin(y) =3[sin(x+y)cos(y)+cos(x+y)sin(y)]Then devide it by cos(x+y)cos(y)You getTan(x+y)-tan(y) = 3[tan(x+y)+tan(y)]2tan(x+y)+4tan(y)=0SinceTan(x+y)+2tan(y)=0
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