16. If tan (x + y) tan (x - y) = 1, then the value of ta 1 a to (3) 3 (2) TB (41)

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16. (1) tan ( (x+y) ). tan ( (x-y)=1 ) ( Rightarrow tan (x+y)=cot (x-y)=tan ) ( left(90^{circ}-x+yright) ) ( Rightarrow x+y=90^{circ}-x+y ) ( Rightarrow 2 x=90^{circ} ) ( therefore tan frac{2 x}{3}=tan 30^{circ}=frac{1}{sqrt{3}} )

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