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Question: Answered & Verified by Expert
$(\sec 2 A+1) \sec ^2 A=$
MathematicsTrigonometric Ratios & IdentitiesJEE Main
Options:
  • A $\sec A$
  • B $2 \sec A$
  • C $\sec 2 A$
  • D $2 \sec 2 A$
Solution:
2132 Upvotes Verified Answer
The correct answer is: $2 \sec 2 A$
$(\sec 2 A+1) \sec ^2 A=\left(\frac{1+\tan ^2 A}{1-\tan ^2 A}+1\right)\left(1+\tan ^2 A\right)$
$=\frac{2\left(1+\tan ^2 A\right)}{1-\tan ^2 A}=2 \sec 2 A \text {. }$

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