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Multiplication And Addition Trigonometry: 2 cos (𝜋/2 + x) cos (𝜋/2 – x)

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2 cos (𝜋/2 + x) cos (𝜋/2 – x) = …?

SOLUTION

2 cos (𝜋/2 + x) cos (𝜋/2 – x) = cos ( 𝜋/2 + x + 𝜋/2 – x ) + cos (𝜋/2 + x – (𝜋/2 – x))

2 cos (𝜋/2 + x) cos (𝜋/2 – x) = cos (𝜋) + cos (2x)

2 cos (𝜋/2 + x) cos (𝜋/2 – x) = -1 + cos 2x


 

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