Question 237732
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*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \tan^2(x)\ +\ \tan(x)\ =\ 0]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \tan(x)\left(\tan(x)\ +\ 1\right)\ =\ 0]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \tan(x)\ =\ 0]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ \tan^{-1}(0)\ =\ 0]


or


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \tan(x)\ +\ 1\ =\ 0]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \tan(x)\ =\ -1]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ \tan^{-1}(-1)\ =\ \frac{3\pi}{4}]


On the interval [0,&#960;)



John
*[tex \LARGE e^{i\pi} + 1 = 0]
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