How do you evaluate #tan (pi/3)#?
1 Answer
May 13, 2016
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#