# Come valuti tan (pi / 3) ?

sqrt3

#### Spiegazione:

By evaluate I am assuming you mean give thecolor(blue)" exact value"

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

From this triangle we can obtain the exact values for sin/cos/tan of the anglespi/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