sin(A+B)sin(A-B)=? select the correct answer
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sin ( A + B ) sin ( A – B )
As we know,
( x + y ) ( x – y ) = x² – y²
So, we have to apply the above identity in the given equation .
sin ( A + B ) sin ( A – B )
= ( sinA + sinB ) ( sinA – sinB )
= sin²A – sin²B
______________________________
______________________________
sin ( A + B ) sin ( A – B )
As we know,
( x + y ) ( x – y ) = x² – y²
So, we have to apply the above identity in the given equation .
sin ( A + B ) sin ( A – B )
= ( sinA + sinB ) ( sinA – sinB )
= sin²A – sin²B
______________________________
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