Given that cot theta-tan theta=2cot2 the...

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

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