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    Question

    Evaluate the following: cos 45° × cos 45°

    − sin 45° × sin 45°
    B 1 Correct Answer Incorrect Answer
    C 1/2 Correct Answer Incorrect Answer
    D 1/√2 Correct Answer Incorrect Answer

    Solution

    We know that, cos (a + b) = cos a × cos b − sin a × sin b So, cos 45° × cos 45° − sin 45° × sin 45°
    = cos (45° + 45°)
    = cos 90°
    = 0

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