4. If Sin-cos =0 then the value of (sin4+cos4) is
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Step-by-step explanation:
sinA-cosA=0
(sinA-cosA)²=0
1-2sinAcosA=0
sinAcosA=1/2
sin⁴A+cos⁴A
=(sin²A+cos²A)²-2sin²Acos²A
=1-2(1/4)
=1-1/2
=1/2
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