Question

if tana=root3 and tanb=1/root3, then the value of cot(a+b) is

Answer 1

$$\begin{gathered} \tan \mathrm{a}=\sqrt{3}\mathrm{and}\tan \mathrm{b}=\frac{1}{\sqrt{3}} \\ \tan \mathrm{a}=\tan 60°\mathrm{and}\tan \mathrm{b}=\tan 30° \\ \mathrm{So},\mathrm{a}=60°\mathrm{and}\mathrm{b}=30°. \\ \cot \left(\mathrm{a}+\mathrm{b}\right)=\cot \left(60+30\right)=\cot 90° \\ =0\mathrm{ANS}... \end{gathered}$$