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Values of trigonometric ratios of 18, 36 and related angles

This type of question, asked 4 times: 15 May 2023 S1, 9 May 2024 S1, 12 May 2024 S2, 19 Apr 2026 S1. All 4 questions below, oldest first.

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  1. Question 1

    15 May 2023 S1

    104
    The value of cos⁡(18∘−A)cos⁡(18∘+A)−cos⁡(72∘−A)cos⁡(72∘+A)\cos(18^{\circ}-A)\cos(18^{\circ}+A) - \cos(72^{\circ}-A)\cos(72^{\circ}+A) is equal to

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  2. Question 2

    9 May 2024 S1

    109
    If sin⁡18∘=5−14\sin18^\circ=\frac{\sqrt{5}-1}{4}, then cos⁡248∘−sin⁡212∘\cos^248^\circ-\sin^212^\circ has the value

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  3. Question 3

    12 May 2024 S2

    110
    cos⁡248°−sin⁡212°=\cos^2 48° - \sin^2 12° = ……. if sin⁡18°=5−14\sin 18° = \frac{\sqrt{5}-1}{4}

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  4. Question 4

    19 Apr 2026 S1

    54
    The value of cos⁡(π5)\cos\left(\dfrac{\pi}{5}\right) is ...

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