Question

How do you evaluate `tan (pi/3)`?

Answer 1

`sqrt3`

Explanation:

By evaluate I am assuming you mean give the`color(blue)" exact value"`

Obviously from a calculator the `tan(pi/3)≈1.732`
But to obtain the exact value we can use the following`color(blue)" Exact value triangle"`

From this triangle we can obtain the exact values for sin/cos/tan of the angles`pi/3" and "pi/6`. These are very useful and appear on many occasions so worth memorising for future use.

From triangle we obtain.

`tan(pi/3)=sqrt3/1=sqrt3`

For the same angle : `sin(pi/3)=sqrt3/2 , cos(pi/3)=1/2`