A) \[sinA\text{ }cosA+1\]
B) \[secA\text{ }cosecA+1\]
C) \[tanA+cotA\]
D) \[secA+cosecA\]
Correct Answer: B
Solution :
\[Exp.=\frac{{{\tan }^{2}}A}{\tan A-1}+\frac{1}{\tan A-{{\tan }^{2}}A}\] \[=\frac{1}{tanA-1}\left[ {{\tan }^{2}}A-\frac{1}{\tan A} \right]\] \[=\frac{{{\tan }^{2}}A+\tan A+1}{\tan A}=\tan A+\cot A+1\] \[=\sec A.\cos ecA+1\]
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