A) 25
B) 27
C) 23
D) 24
Correct Answer: C
Solution :
\[{{\left( \tan \theta +\cot \theta \right)}^{2}}={{5}^{2}}=25\] \[\Rightarrow \,\]\[{{\tan }^{2}}\theta +{{\cot }^{2}}\theta +2\tan \theta .\cot \theta =25\] \[\Rightarrow \,\] \[{{\tan }^{2}}\theta +{{\cot }^{2}}\theta +2=25\] \[\Rightarrow \,\]\[{{\tan }^{2}}\theta +{{\cot }^{2}}\theta =\left( 25-2 \right)=23\]You need to login to perform this action.
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