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sin^4theta+cos^4theta
=(sin^2theta)^2+(cos^2theta)^2
=(sin^2theta+cos^2theta)^2-2sin^theta×cos^2theta
=(1)^2-2sin^2theta×cos^2theta
=1-2sin^2theta×cos^2theta(prooved)
=(sin^2theta)^2+(cos^2theta)^2
=(sin^2theta+cos^2theta)^2-2sin^theta×cos^2theta
=(1)^2-2sin^2theta×cos^2theta
=1-2sin^2theta×cos^2theta(prooved)
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I hope it'll help you
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