सिद्ध कीजिए कि : 6 cot A cot 2A - c...
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सिद्ध कीजिए कि : 6 cot A cot 2A - cot 2A cot 3A - cot 3A cot A = 1.

Defence Exams
Maths
Solution
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( mathrm{LHS}=cot A cdot cot 2 A-cot 2 A cdot cot 3 A-cot ) ( 3 A cdot cot A ) ( =cot A cdot cot 2 A-cot 3 A(cot 2 A+cot A) ) ( =cot A cdot cot 2 A-cot (2 A+A)(cot 2 A+cot A) ) ( =cot A cdot cot 2 A-[cot 2 A cdot cot A-1 cot 2 A+ ) ( cot A](cot 2 A+cot A) ) ( =cot A cdot cot 2 A-cot 2 A cdot cot A+1 ) ( =1=R H S )
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