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  1. The greatest value of sin4θ + cos4θ is
    1. 2
    2. 3
    3. 1
      2
    4. 1
Correct Option: D

cos4θ + sin4θ = (cos²θ + sin²θ)² – 2cos²θ sin²θ
From maximum value, 2sin²θ.cos²θ = 0
Hence, sin4θ + cos4θ = (1)² – 0 = 1


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