Consider the principal values of inverse trigonometric functions, the value of the expression \(\tan \left(2{\sin }^{−1}\left(\frac{2}{\sqrt{13}}\right)−2{\cos }^{−1}\left(\frac{3}{\sqrt{10}}\right)\right)\) is equal to:

[JEE Main 2026, 28 Jan (Shift 2)]

Question

Consider the principal values of inverse trigonometric functions, the value of the expression \(\tan \left(2{\sin }^{−1}\left(\frac{2}{\sqrt{13}}\right)−2{\cos }^{−1}\left(\frac{3}{\sqrt{10}}\right)\right)\) is equal to:

[JEE Main 2026, 28 Jan (Shift 2)]

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Consider the principal values of inverse trigonometric functions, the value of the expression \(\tan \left(2{\sin }^{−1}…

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