cot 0=sin 20 (@unt, n is integer), ...
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cot 0=sin 20 (@unt, n is integer), if Q= (A) 45° and 60° (B) 45° and 90° (C) 45° only (D) 90° only

JEE/Engineering Exams
Maths
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Sot ( 0=sin 2 theta ) where ( theta eq n pi ) ( Rightarrow frac{cos theta}{sin theta}=2 sin theta cdot cos theta ) ( Rightarrow frac{cos theta}{cos theta}=2 sin theta cdot sin theta ) ( Rightarrow 2 sin ^{2} theta=1 ) ( Rightarrow sin 2 theta=frac{1}{2} ) ( Rightarrow sin theta=frac{1}{sqrt{2}} ) ( Rightarrow quad theta=sin ^{-1} frac{1}{sqrt{2}} ) ( Rightarrow frac{theta=sin ^{-1} sin frac{pi}{4}}{theta=frac{pi}{4}} )
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