Trigonometry - Trigonometric Equations

Trigonometry - Trigonometric Equations

Solve \(3{{\tan }^{2}}x-5\tan x+2=0\) for \(0\le x\le \frac{3}{2}\pi \).

Solution:

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Answer:\(x=\tan^{-1}\!\left(\frac23\right),\ \frac\pi4,\ \pi+\tan^{-1}\!\left(\frac23\right),\ \frac{5\pi}4\) radians.

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