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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1
If A,BA, B and CC are the angles of a triangle such that sec⁡(A−B),sec⁡A\sec (A-B), \sec A and sec⁡(A+B)\sec (A+B) are in AP, then
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Correct option: B
2sec⁡2A=sec⁡2B22 \sec ^2 A=\sec ^2 \frac{B}{2}
Option B (2sec⁡2A=sec⁡2B22 \sec^2 A = \sec^2 \frac{{B}}{{2}}) is correct because using the arithmetic progression condition and trigonometric identities leads to this relationship.

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