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MathsJEE Main 28 Jan 2026, Shift 1·Q4·MCQ·Moderate

Trigonometry · Compound angle identities

If tan⁡(A−B)tan⁡A+sin⁡2Csin⁡2A=1\dfrac{\tan(A - B)}{\tan A} + \dfrac{\sin^2 C}{\sin^2 A} = 1, A,B,C∈(0,π2)A, B, C \in \left(0, \dfrac{\pi}{2}\right), then
  1. (1)tan⁡A\tan A, tan⁡C\tan C, tan⁡B\tan B are in G.P.
  2. (2)tan⁡A\tan A, tan⁡B\tan B, tan⁡C\tan C are in G.P.
  3. (3)tan⁡A\tan A, tan⁡C\tan C, tan⁡B\tan B are in A.P.
  4. (4)tan⁡A\tan A, tan⁡B\tan B, tan⁡C\tan C are in A.P.

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See the full 28 Jan 2026, Shift 1 paper