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cos^2 A + cos^2 B +/- cos A cos B when A + B is fixed

This type of question, asked 3 times: 11 Apr 2026 S2, 18 Apr 2026 S1, 14 May 2026 S2. All 3 questions below, oldest first.

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  1. Question 1

    11 Apr 2026 S2

    54
    The value of cos⁡210∘−cos⁡10∘cos⁡50∘+cos⁡250∘\cos^2 10^\circ - \cos 10^\circ\cos 50^\circ + \cos^2 50^\circ is equal to....

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  2. Question 2

    18 Apr 2026 S1

    53
    In △ABC\triangle ABC, if ∠C=π3\angle C = \dfrac{\pi}{3}, then the value of cos⁡2A+cos⁡2B+cos⁡Acos⁡B\cos^2 A + \cos^2 B + \cos A\cos B is...

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  3. Question 3

    14 May 2026 S2

    52
    In ΔABC\Delta ABC, ∠C=2π3\angle C = \dfrac{2\pi}{3}, then the value of cos⁡2A+cos⁡2B−cos⁡Acos⁡B\cos^2 A + \cos^2 B - \cos A \cos B is

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