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AP EAMCET · Maths · Trigonometric Ratios & Identities

If \(\sec (\theta+\alpha), \sec \theta\) and \(\sec (\theta-\alpha)\) are arithmetic progression, then \(\sin ^2 \theta=\)

  1. A \(\cos \alpha\)
  2. B \(2 \cos \alpha\)
  3. C \(-2 \cos \alpha\)
  4. D \(-\cos \alpha\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(-\cos \alpha\)

Step-by-step Solution

Detailed explanation

Since \(\sec (\theta+\alpha), \sec \theta, \sec (\theta-\alpha)\) are in A.P.…