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JEE MATHEMATICS MCQ: MULTIPLE AND SUBMULTIPLE ANGLES

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Analyzing +4 | -1
If cos⁡  2B=cos⁡  (A+C)cos⁡  (A−C)  \cos \,\,2B = \frac{{\cos \,\,\left( {A + C} \right)}}{{\cos \,\,\left( {A - C} \right)}}\;, then tan⁡  A,  tan⁡  B,  tan⁡  C\tan \,\,A,\,\,\tan \,\,B,\,\,\tan \,\,C are in
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Correct option: B
GP
The correct answer is B (GP) because after simplification and using trigonometric identities, it's shown that tan⁡2B=tan⁡Atan⁡C\tan^2 B = \tan A \tan C, which is the condition for GP.

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