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Rewrite one term with the complementary angle so the terms cancel to 0

This type of question, asked 3 times: 14 Jul 2023 S2, 19 Jul 2023 S4, 20 Jul 2023 S2. All 3 questions below, oldest first.

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  1. Question 1

    14 Jul 2023 S2

    54
    Evaluate the following. sin⁡25∘sin⁡65∘−cos⁡25∘cos⁡65∘\sin 25^\circ \sin 65^\circ - \cos 25^\circ \cos 65^\circ.

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  2. Question 2

    19 Jul 2023 S4

    58
    The value of cos⁡232∘−sin⁡258∘\cos^2 32^\circ - \sin^2 58^\circ is:

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  3. Question 3

    20 Jul 2023 S2

    70
    Find the value of sin⁡(50+θ)−cos⁡(40−θ)\sin(50 + \theta) - \cos(40 - \theta).

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