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sin⁴A -sin²A = cos⁴A - cos²A

Answer» LHS= Sin^4A- Sin^2A Taking Sin^2A common we get, Sin^2A( Sin^2-1) (1-cos^2A) (-cos^2A) On multiplying we get, -Cos^2A + Cos^4A Cos^4A - Cos^2A Hence proved.
Lhs........... So...... Sin⁴a -sin²a =====(1-cos²a) ² - 1- cos²a........ 1- cos⁴a -1-cos²a...... Cos⁴a -cos²a.... Hence proved. ..
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