How do you find the exact value of tan pi/3? Trigonometry Right Triangles Trigonometric Functions of Any Angle 1 Answer Truong-Son N. Apr 21, 2015 This is doable without using any complicated identities. pi/3 radians = 60^o tan 60^o = (sin 60^o) / (cos 60^o) = (sqrt(3)/2)/(1/2) = cancel(2)*sqrt(3)/cancel(2) = sqrt(3) ≈ 1.732 Answer link Related questions How do you find the trigonometric functions of any angle? What is the reference angle? How do you use the ordered pairs on a unit circle to evaluate a trigonometric function of any angle? What is the reference angle for 140^\circ? How do you find the value of cot 300^@? What is the value of sin -45^@? How do you find the trigonometric functions of values that are greater than 360^@? How do you use the reference angles to find sin210cos330-tan 135? How do you know if sin 30 = sin 150? How do you show that (costheta)(sectheta) = 1 if theta=pi/4? See all questions in Trigonometric Functions of Any Angle Impact of this question 18423 views around the world You can reuse this answer Creative Commons License