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Omni-MATH / Express the following in closed form, as a function of x : sin²(x)+sin²(2x)cos²(x)+sin²(4x)cos²(2x)cos²(x)+⋯+sin²(2²⁰¹⁰x)cos²(2²⁰⁰⁹x)⋯cos²(2x)cos²(x). · Discussion

Discussing Express the following in closed form, as a function of x : sin²(x)+sin²(2x)cos²(x)+sin²(4x)cos²(2x)cos²(x)+⋯+sin²(2²⁰¹⁰x)cos²(2²⁰⁰⁹x)⋯cos²(2x)cos²(x). · Omni-MATH

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