What is the exact value of tan 30?

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1 Answer
Jun 4, 2018

See explanation below

Explanation:

In a equilateral triangle, all sides are equal to 1. Then all angles are 60º

Consider the height of this triangle. So we have an right triangle with sides 1/2, 1 and h=height. The angles are 90, 60 and 30

Lets calculate the height by Pitogorean theorem

(12)2+h2=11, then h=32

Then sin30=121=12

cos30=32

tan30=1232=13=33