MathsJEE Main 5 Apr 2026, Shift 1·Q6·MCQ·Moderate

Trigonometry · Compound angle formulae

Let

\tan A

,

\tan B

, where

A, B \in \left(-\dfrac{\pi}{2}, \dfrac{\pi}{2}\right)

, be the roots of the quadratic equation

x^2 - 2x - 5 = 0

. Then

20\sin^2\left(\dfrac{A + B}{2}\right)

is equal to:

(1) $10 + \sqrt{10}$
(2) $10 - 2\sqrt{10}$
(3) $10 - 3\sqrt{10}$
(4) $10 - \sqrt{10}$

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