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MathsJEE Main 28 Jan 2026, Shift 2·Q6·MCQ·Easy–moderate

Inverse Trigonometry · Principal values and multiple angles

Considering the principal values of inverse trigonometric functions, the value of the expression tan⁡(2sin⁡−1(213)−2cos⁡−1(310))\tan\left(2\sin^{-1}\left(\dfrac{2}{\sqrt{13}}\right) - 2\cos^{-1}\left(\dfrac{3}{\sqrt{10}}\right)\right) is equal to :
  1. (1)−3356-\dfrac{33}{56}
  2. (2)3356\dfrac{33}{56}
  3. (3)1663\dfrac{16}{63}
  4. (4)−1663-\dfrac{16}{63}

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See the full 28 Jan 2026, Shift 2 paper