Find the exact value of tan (pi/3)
Trigonometry is a branch of mathematics that deals with the relation between the angles and sides of a triangle. There are a total of six trignometric ratios.
Answer: The exact value of tan (pi/3) is ⎷3
Let us see, how to solve.
We are using a trigonometric relation, tanθ = sinθ/cosθ, to find the value of tan (pi/3).
Since, θ = pi/3, therefore
sin(pi/3) = ⎷3/2, and
cos(pi/3) = 1/2
Now substitute sin(pi/3) = ⎷3/2, and cos(pi/3) = 1/2 in the equation tanθ = sinθ/cosθ
tanθ = sinθ/cosθ
tan(pi/3) = sin(pi/3)/cos(pi/3)
tan(pi/3) = (⎷3/2)/(1/2)