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=> (cosx + sinx)²
=> cos²x + 2sinxcosx + sin²x
Ingat sifat dari trigonometri:
a.) sin²x + cos²x = 1
b.) sin2x = 2sinxcosx
Maka,
=> cos²x + 2sinxcosx + sin²x = (cos²x + sin²x) + 2sinxcosx = 1 + sin2x (Terbukti)