Question

Determine the value of $\tan {30^0} \times \tan {60^0}$.

Answer 1

Hint: Here we just have to put the value of tan of two standard angles namely $30^\circ$ and $60^\circ$ and then find the product.

Complete step-by-step answer:
Here the question asked for the product of $\tan {30^0}$ and $\tan {60^0}$.

And we know that the value of $\tan {60^0} = \sqrt 3 $ and the value of$\tan {30^0} = \dfrac{1}{{\sqrt 3 }}$.

Now put these values in the question we get,

$

   = \tan {30^0}\tan {60^0} \\

   = \dfrac{1}{{\sqrt 3 }} \times \sqrt 3 \\

   = 1 \\

 $

Hence the required answer is 1.

Note: Whenever we face such a type of question the key concept for solving the question is you should always remember the basic value of trigonometric angles from the trigonometry chart that we learn in trigonometry chapter. Simply put the values and find out the answers.