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10 December, 14:14

In the following questions, simplify the given formulae:

2. sin50°cos 40° - cos50°sin 40°

3. cos75°cos 15° - sin75°sin 15°

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  1. 10 December, 14:38
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    Step-by-step explanation:

    sin (A - B) = sin A cos B - cos A sin B

    sin50°cos 40° - cos50°sin 40°

    = sin (50-40) °

    =sin10°

    cos (A + B) = cos A cos B - sin A sin B

    cos75°cos 15° - sin75°sin 15°

    = cos (75+15) ° = cos90° = 0
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