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Rajan@2021
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Evaluate: cos 45° cos 30° + sin 30° sin 45°

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This is the basic and conceptual question from trigonometry(trignometric ratios) in which we have been asked to find the value of cos 45° cos 30° + sin 30° sin 45°

RS Aggarwal, class 10, chapter 11, question no 3.

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1 Answer

  1. We know that,

    cos45= 1/√2 = sin45
    cos30= √3/2 and
    sin30= 1/2
    Now,
    cos45cos30+sin45sin30
    = 1/√2×√3/2 + 1/√2×1/2
    = √3/2√2 + 1/2√2

    cos45cos30+ sin45sin30
    = (√3+1)/2√2

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