If , then find the value of…

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

If sin⁡A+sin⁡2A+sin⁡3A=1\sin A + \sin^2 A + \sin^3 A = 1 , then find the value of cos⁡6A−4cos⁡4A+8cos⁡2A\cos^6 A - 4 \cos^4 A + 8 \cos^2 A .

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