Subject

    Bank Exam

    Topic

    Joint Recruitment Test for 7 Banks and Financial Institutions - (Senior Officers) - 05.11.2021

    If cos2Θ – sin2Θ = x, then 1 + cos4Θ – sin4Θ = ?

    ক)
    x
    খ)
    4/x
    গ)
    x + 1
    ঘ)
    x2+ 1

    Explanation

    We know, cos²Θ + sin²Θ = 1 and, cos 2 Θ - sin 2 Θ = x Now, (cos²Θ + sin²Θ) × (cos²Θ - sin²Θ) = 1 × x ⇒ cos 4 Θ - sin 4 Θ = x ⇒ 1+ cos 4 Θ - sin 4 Θ = 1+ x = x + 1

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