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Question-185426




Question Number 185426 by sonukgindia last updated on 21/Jan/23
Answered by Frix last updated on 21/Jan/23
u=tan a ∧v=tan b ⇒  ((u+v)/(1−uv))=((4v)/(3−v^2 )) ⇒ u=(v/3) ⇒ answer is 3
$${u}=\mathrm{tan}\:{a}\:\wedge{v}=\mathrm{tan}\:{b}\:\Rightarrow \\ $$$$\frac{{u}+{v}}{\mathrm{1}−{uv}}=\frac{\mathrm{4}{v}}{\mathrm{3}−{v}^{\mathrm{2}} }\:\Rightarrow\:{u}=\frac{{v}}{\mathrm{3}}\:\Rightarrow\:\mathrm{answer}\:\mathrm{is}\:\mathrm{3} \\ $$

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