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Multiplication And Addition Trigonometry: 4 cos (x – 𝞹) sin (x + 𝞹)

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4 cos (x – 𝞹) sin (x + 𝞹) = …?

SOLUTION

4 cos (x – 𝞹) sin (x + 𝞹 ) = 2 sin (x – 𝞹 + x + 𝞹) – 2 sin (x – 𝞹 – (x + 𝞹))

4 cos (x – 𝞹) sin (x + 𝞹 ) = 2 sin 2x – 2 sin (– 2𝞹)

4 cos (x – 𝞹) sin (x + 𝞹 ) = 2 sin 2x + 2 sin 2𝞹

4 cos (x – 𝞹) sin (x + 𝞹 ) = 2 sin 2x

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