Prove the following :-
sin(A+B) × sin(A - B) = sin²A - sin²B
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Step-by-step explanation:
SIN(A+B) SIN(A-B)
(SIN COS B + COS A SIN B) (SIN A COS B - COS A SIN B)
__________ _________ ___________ ___________
A. B. A. B
SIN² A COS² B - COS²A SIN² B
SIN²A ( 1- SIN² B ) - ( 1- SIN²A ) SIN²B
SIN²A - SIN²A SIN² B - SIN²B + SIN²A - SIN²B
2nd and 4th units cancel each other
SIN²A - SIN²B
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