Math, asked by adarshmeradost, 1 month ago

prove that:- sin⁴A+cos⁴A=1-2sin²A×cos²A

Answers

Answered by rajunaga110

0

Step-by-step explanation:

add and subtract 2sin^2(A)cos^2(A)

so (sin^4A+cos^4A+2sin^2Acos^2A)-2sin^2Acos^2A

=(sin^2A+cos^2A)^2-2sin^2Acos^2A

=1-2sin^2Acos^2A

hence proved

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