cos⁴A + sin²A = 1 - cos²A. sin²A
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As we know this trigonometric entity,
sin^2A+cos^2A=1.
sin^2A=1-cos^2A
We'll only use this single entity.
LHS.
cos^4A + sin^2A.
=cos^4A +( 1- cos^2A).
=1-cos^2A+ cos^4A.
=1-cos^2A(1-cos^2A).
=1-cos^2Asin^2A.
Hence LHS= RHS PROVED.
Hope It helps.
sin^2A+cos^2A=1.
sin^2A=1-cos^2A
We'll only use this single entity.
LHS.
cos^4A + sin^2A.
=cos^4A +( 1- cos^2A).
=1-cos^2A+ cos^4A.
=1-cos^2A(1-cos^2A).
=1-cos^2Asin^2A.
Hence LHS= RHS PROVED.
Hope It helps.
Yes I did .
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