Question

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prove sin2x - sin2y = sin(x + y)sin(x - y)?​

Answer 1

Answer:

Explanation:

sin(x+y)sin(x−y)

= (sinxcosy+cosxsiny)(sinxcosy−cosxsiny)

= sin2xcos2y−cos2xsin2y

= sin2x(1−sin2y)−(1−sin2x)sin2y

= sin2x−sin2xsin2y−sin2y+sin2xsin2y

= sin2x−sin2xsin2y−sin2y+sin2xsin2y

= sin2x−sin2y

Step-by-step explanation:

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Answer 2

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