If cos A + cos2A = 1 then sin2A + sin4A = ?

Foundation

Mathematics Foundation

Introduction to Trigonometry

Question

If cos A + cos²A = 1 then sin²A + sin⁴A = ?

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since, cos A + cos²A = 1 therefore, cos A = 1 - cos²A =sin²A

Hence, sin²A + sin⁴A = cos A + cos²A = 1.