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# Need help im rlly confused

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1. In this problem, all angles are measured in degrees.

Find the smallest angle x such that $$x <90$$ and $$6\tan^2(5x-3) = 2 .$$

Oct 24, 2021

#2
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$$6tan^2(5x-3)=2\\ tan(5x-3)=\frac{1}{\sqrt3}\\ \quad \text { you should recognise that } \quad tan \frac{\pi}{6} =\frac{1}{\sqrt3}\\ 5x-3=\frac{\pi}{6}\\$$

And you can finish it.

Oct 25, 2021