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sin2 6x – sin2 4x = 

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Navik GD Mathematics 22 March 2021 (All Shifts) Questions
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  1. sin 2x cos10x
  2. sin 2x sin 8x
  3. sin 2x sin 10x
  4. cos 2x cos 10x

Answer (Detailed Solution Below)

Option 3 : sin 2x sin 10x
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Detailed Solution

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Concept:

a2 - b2 = (a + b)(a - b)

sin C + sin D = 

sin C - sin D = 

2 sin x cos x = sin 2x

Calculation:

Consider, sin2 6x – sin2 4x

= (sin 6x + sin 4x) (sin 6x – sin 4x)

= [  ] []

= 

Rearranging the terms, we get

= 

= sin 10x sin 2x

= sin 2x sin 10x

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