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Prove that sin⁴a+cos⁴a/1-2sin²acos²a=1

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Prove that sin⁴a+cos⁴a/1-2sin²acos²a=1

    • Posted by Roshan Gupta 1 year, 8 months ago

    CBSE > Class 10 > Mathematics
    • 2 answers

    Rishika Kabra 1 year, 8 months ago

    Sin²a+ cos²a)²= (sin²a)²+ (cos²a)²+2 sin²a cos²a=1 Sin⁴a+cos⁴a= 1-2sin²a cos²a 1-2 sin²a cos²a/1-2sin²a cos²a=1 1=1 LHS= RHS hence proved

    2Thank You

    Rishika Kabra 1 year, 8 months ago

    (Sin²a+ cos²a)²= (sin²a)²+ (cos²a)²+2 sin²a cos²a

    1Thank You

    ANSWER
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