How do you evaluate tan (pi/3)?

1 Answer
May 13, 2016

sqrt3

Explanation:

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.
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From triangle we obtain.

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

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