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Approximate value of a trigonometric function at an angle near a standard angle

This type of question, asked 3 times: 3 May 2023 S1, 12 May 2024 S1, 20 Apr 2025 S2. All 3 questions below, oldest first.

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  1. Question 1

    3 May 2023 S1

    143
    The approximate value of cos⁡30∘30′\cos30^\circ 30' is, given that 1∘=0.01751^\circ=0.0175 rad and cos⁡30∘=0.8660\cos30^\circ=0.8660

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  2. Question 2

    12 May 2024 S1

    107
    The approximate value of sin⁡60∘0′10′′\sin 60^{\circ}0'10'' is (given that 3=1.732\sqrt{3}=1.732, 1∘=0.0175∘1^{\circ}=0.0175^{\circ})

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  3. Question 3

    20 Apr 2025 S2

    130
    The approximate value of cos⁡(59∘30′)\cos\left( 59^{\circ}30^{'} \right) is (given 1∘=0.0175∘,sin⁡60∘=0.86601^{\circ}=0.0175^{\circ},\sin60^{\circ}= 0.8660 )

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