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The value of \(9 \sec^2 A - 9 \tan^2 A\) is:

  • A.1
  • B.9
  • C.8
  • D.0

Answer: B

Take out the common factor and use the identity.

\[ 9(\sec^{2}A - \tan^{2}A) = 9 \times 1 = 9 \]

The identity \( \sec^{2}A - \tan^{2}A = 1 \) comes from dividing \( \sin^{2}A + \cos^{2}A = 1 \) through by \( \cos^{2}A \).

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