Find the greatest value of the function \[f(x)=\frac{\sin \,\,2x}{\sin \left( x+\frac{\pi }{4} \right)}\] on the interval \[\left[ 0,\frac{\pi }{2} \right]\]

Find the greatest value of the function \[f(x)=\frac{\sin \,\,2x}{\sin

1.	Find the greatest value of the function \[f(x)=\frac{\sin \,\,2x}{\sin \left( x+\frac{\pi }{4} \right)}\] on the interval \[\left[ 0,\frac{\pi }{2} \right]\]
A.	1
B.	2
C.	3
D.	None of these
Answer» B. 2

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Find the greatest value of the function \[f(x)=\frac{\sin \,\,2x}{\sin \left( x+\frac{\pi }{4} \right)}\] on the interval \[\left[ 0,\frac{\pi }{2} \right]\]

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