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Find exact value if\[0<x<\frac{\pi}{2} and , \sin. o<y<\frac{\pi}{2}\]\[\sin(x-y) if. \sin x=\frac{4}{9} and, sine. y =\frac{1}{4}\]
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\[\sin(x)=\frac{4}{9},\sin(y)=\frac{1}{4}\] use pythagoras to find \[\cos(x), cos(y)\] and then use \[\sin(x-y)=\sin(x)\cos(y)-\sin(y)\cos(x)\]
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