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  1. If sin A + sin²A = 1, then the value of cos²A + cos4A is
    1. 2
    2. 1
      2
      3
    3. 1
      2
      2
    4. 1
Correct Option: D

sin A + sin²A = 1
⇒ sin A = 1 – sin²A = cos²A
∴ cos²A + cos4A
= cos²A + (cos²A)2
= cos²A + sin²A = 1


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