A) 4
B) 6
C) 2
D) 1
Correct Answer: C
Solution :
[c] We have, \[\tan \theta +\cot \theta =2\] |
Squaring both sides, we get \[{{(\tan \theta +\cot \theta )}^{2}}=4\] |
\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,{{\tan }^{2}}\theta +{{\cot }^{2}}\theta +2\tan \theta \cot \theta =4\] |
\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,{{\tan }^{2}}\theta +{{\cot }^{2}}\theta +2(1)=4\] \[[\tan \theta \cot \theta =1]\] |
\[\Rightarrow \,\,\,\,\,\,\,\,\,\,{{\tan }^{2}}\theta +{{\cot }^{2}}\theta =4-2=2\] |
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