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If $$\frac{\sin^4x}{2}+\frac{\cos^4x}{3} = \frac{1}{5}$$ then
$$\tan^2 x = \frac{2}{3}$$
$$\frac{\sin^8 x}{8}+\frac{\cos^8 x}{27} = \frac{1}{125}$$
$$\tan^2 x = \frac{1}{3}$$
$$\frac{\sin^8 x}{8}+\frac{\cos^8 x}{27} = \frac{2}{125}$$
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