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Fold a compound-angle expansion (sin a cos b + cos a sin b etc.) into one ratio and evaluate

This type of question, asked 2 times: 24 Jul 2023 S1, 19 Sep 2025 S1. All 2 questions below, oldest first.

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  1. Question 1

    24 Jul 2023 S1

    58
    Find the value of the given expression. 2+cos⁡49∘cos⁡41∘−sin⁡49∘sin⁡41∘2 + \cos 49^\circ \cos 41^\circ - \sin 49^\circ \sin 41^\circ

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  2. Question 2

    19 Sep 2025 S1

    65
    What is the value of sin⁡20∘cos⁡10∘+cos⁡20∘sin⁡10∘\sin 20^\circ \cos 10^\circ + \cos 20^\circ \sin 10^\circ?

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