Question

Prove that :- (sin@-cos@)^2=1-sin2@

Answer 1

I hope it is suitable answer....


thanks

Answer 2

Hey there !!!!!!

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Taking LHS 

(sin@-cos@)²

using (a-b)² = a²-2ab+b²

=sin²@-2sin@cos@+cos²@

But sin²@+cos²@=1 and 2sin@cos@=sin2@

So,

=sin²@+cos²@-2sin@cos@

=1-sin2@

LHS=RHS

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Hope this helped you............