Cem Hayes

2021-08-19

Solve the equations and show all the solutions in the first quadrant

$3\mathrm{tan}\theta -\mathrm{cot}\theta =0$

Nichole Watt

Skilled2021-08-20Added 100 answers

Use the trigonometry ratio

$3\mathrm{tan}\theta -\mathrm{cot}\theta =0$

$\Rightarrow 3\mathrm{tan}\theta =\mathrm{cot}\theta$

$\Rightarrow \frac{3\mathrm{tan}\theta}{\mathrm{cot}\theta}=1$

$\Rightarrow \mathrm{tan}\pm \theta =\frac{1}{\sqrt{3}}$

$\Rightarrow \theta ={\mathrm{tan}}^{-1}(\pm \frac{1}{\sqrt{3}})$

$=\pm {\mathrm{tan}}^{-1}\left(\frac{1}{\sqrt{3}}\right)$

$=\pm \frac{\pi}{6}$

Solutioms in the first quadrant is$\theta =\frac{\pi}{6}$

Solutioms in the first quadrant is

Jeffrey Jordon

Expert2021-12-10Added 2605 answers

Answer is given below (on video)

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