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Multiplication And Addition Trigonometry: 6 sin (x + 2y) sin (2x – y)

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6 sin (x + 2y) sin (2x – y) = …?

SOLUTION

6 sin (x + 2y) sin (2x – y) = -3 cos (x + 2y + 2x – y) + 3 cos (x + 2y – (2x – y)

6 sin (x + 2y) sin (2x – y) = -3 cos (3x + y) + 3 cos (-x + 3y)

6 sin (x + 2y) sin (2x – y) = 3 (-cos (3x + y) + cos (-x + 3y))

 

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