_ Prove that to atan 3a - tana 1 - ...
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_ Prove that to atan 3a - tana 1 - = cot 2a. cot3a-cota

JEE/Engineering Exams
Maths
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HS ( =frac{1}{tan 3 alpha-tan alpha} ) ( frac{1}{frac{1}{cot 3 alpha}-frac{1}{cot alpha}}-frac{1}{cot 3 alpha-cot alpha} ) 1 ( =frac{cot alpha cot 3 alpha}{cot alpha-cot 3 alpha}+frac{1}{cot alpha-cot 3 alpha} ) ( =frac{1+cot alpha cot 3 alpha}{cot alpha-cot 3 alpha} ) ( frac{1+cos alpha cos 3 alpha}{frac{sin alpha sin 3 alpha}{cos alpha}-frac{cos 3 alpha}{sin alpha}} ) ( =cos alpha cos 3 alpha+sin alpha sin 3 alpha ) ( sin 3 alpha cos alpha-cos 3 alpha sin alpha ) ( frac{cos (3 alpha-alpha)}{sin (3 alpha-alpha)}=frac{cos 2 alpha}{sin 2 alpha} ) formulae cos ( A ) ass ( +sin A sin B=cos (A-B) quad=cot 2 alpha ) ( sin A cos B-cos A sin B=sin (A-R) )
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