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piyushniyati9302:
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Answer:
Step-by-step explanation:
sin⁴A-cos⁴A=1
(sin²A)²-(cos²A)²=1 (using a²-b² formula)
(sin²A+cos²A) (sin²A-cos²A)=1
since sin²A+cos²A=1
1*(sin²A-cos²A)=1
sin²A=cos²A+1
but sin²A=1-cos²A substituting it
1-cos²A=cos²A+1
2cos²A=0
cos²A=0
cos A=0
therefore ∠A=90°
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