sin⁴A-cos⁴A÷sin²A-cos²A
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1
Step-by-step explanation:
(sin2A + cos2A)(sin2A-cos2A)
(sinA + cosA)(sinA- cosA)
(sin2A + cos2A)(sinA + cosA)(sinA- cosA)
(sinA + cosA)(sinA- cosA)
(sin2A + cos2A)=1
therefore answer is 1
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