SOLUTION: If sin (x+y)=0.9 and sin(x-y)=0.6, determine (sin x)(cos y).

Algebra ->  Trigonometry-basics -> SOLUTION: If sin (x+y)=0.9 and sin(x-y)=0.6, determine (sin x)(cos y).      Log On


   

Question 931801: If sin (x+y)=0.9 and sin(x-y)=0.6, determine (sin x)(cos y).
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
If sin (x+y)=0.9 and sin(x-y)=0.6, determine (sin x)(cos y).
***
sin(x+y)=sinxcosy+cosxsiny=0.9
sin(x-y)=sinxcosy-cosxsiny=0.6
add
2sinxcosy=1.5
sinxcosy=1.5/2=0.75