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" 22."cot theta-tan theta=2...

" 22."cot theta-tan theta=2

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Given that cot theta-tan theta=2cot2 theta , cot theta+tan theta=2cosec2 theta and cot theta-cot2 theta=cosec2 theta, Tan alpha + 2Tan2 alpha+4Tan4 alpha+.....2^(n)Tan2^(n)alpha=cot alpha-1024cot1024 alpha Then n= a) 10 b) 9 c) 11 d) 8