Question

In a right angle triangle ABC (right angled at B), find the value of $\tan A\times \tan C$.

Answer 1

We know $\tan A=\frac{\text{Opposite side}}{\text{Adjacent side}}$

$\therefore \tan A=\frac{BC}{AB}$

and $\tan C=\frac{AB}{BC}$

So, $\tan A\times \tan C=\left(\frac{BC}{AB}\right)\times \left(\frac{AB}{BC}\right)=1$