Prove the following!
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Answer attached above.
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LHS:-
sin^4 - cos^4 tetha
=(sin^2 tetha)^2 - (cos^2 tetha)^2
=(sin^2 tetha - cos^2 tetha) (sin^2 tetha + cos^2 tetha)
=(sin^2 + cos^2 tetha = 1)
= (sin^2 tetha - cos^2 tetha)
= 1 - cos^2 tetha - cos^2 tetha
= 1 - 2cos^2 tetha
= RHS
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