The exact value of tan(π/12) is 2-√3
Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles.
tan (π/12) = tan( π/3 - π/4)
So,
tan( π/3 - π/4)= tan( π/3) - (π/4)/ 1 + tan( π/3)(π/4)
=√3-1 /1+√3*1
=(√3-1 ) / (√3+1) * √3-1 /√3-1
= (√3-1 )² /2
= 2-√3.
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