For what values of does the equation possess solutions?

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

Problem

For what values of bb does the equation bcos⁡x2cos⁡2x−1=b+sin⁡x(cos⁡2x−3sin⁡2x)tan⁡x\frac{b\cos x}{2\cos2x-1}=\frac{b+\sin x}{(\cos^2x-3\sin^2x)\tan x} possess solutions?

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