If and , find the general value of…

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

Problem

If 32tan⁡8θ=2cos⁡2α−3cos⁡α32\tan^8\theta=2\cos^2\alpha-3\cos\alpha and 3cos⁡2θ=13\cos2\theta=1, find the general value of α\alpha.

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