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In Mathematics / High School | 2025-07-03

25. [tex]\sin (A+B) \sin (A-B)=[/tex]

a. [tex]\sin ^2 A-\sin ^2 B[/tex]
b. [tex]\cos ^2 B-\cos ^2 A[/tex]
c. both a and b
d. None of them

Asked by thakuriranjana0460

Answer (2)

**** b. cos 2 B − cos 2 A ;

Answered by karmenchong | 2025-07-04

The expression for sin ( A + B ) sin ( A − B ) simplifies to cos 2 B − cos 2 A using trigonometric identities. Therefore, the correct multiple-choice answer is option b. This was shown step-by-step by applying the product-to-sum identities and the cosine double angle formula.
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Answered by karmenchong | 2025-07-04

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