Rankwise

Value of tan 60°

tan 60° = √3 ≈ 1.7321

√3Exact value
1.732051Decimal
π/360° in radians
cot 30°Same value (co-function)

How to derive it

  1. In an equilateral triangle of side 2, drop a perpendicular: it splits into two 30°–60°–90° triangles with sides 1, √3 and 2.
  2. tan = opposite ÷ adjacent, so tan 60° = √3.

All trig ratios of 60°

RatioExactDecimal
sin 60°√3/20.8660
cos 60°1/20.5000
tan 60°√31.7321
cosec 60°1 ÷ sin 60°1.1547
sec 60°1 ÷ cos 60°2.0000
cot 60°1 ÷ tan 60°0.5774

Exact values of special angles

Anglesincostan
15°(√6 − √2)/4(√6 + √2)/42 − √3
18°(√5 − 1)/4√(10 + 2√5)/4√(25 − 10√5)/5
22.5°√(2 − √2)/2√(2 + √2)/2√2 − 1
30°1/2√3/21/√3
36°√(10 − 2√5)/4(√5 + 1)/4√(5 − 2√5)
45°1/√21/√21
54°(√5 + 1)/4√(10 − 2√5)/4√(25 + 10√5)/5
60°√3/21/2√3
67.5°√(2 + √2)/2√(2 − √2)/2√2 + 1
72°√(10 + 2√5)/4(√5 − 1)/4√(5 + 2√5)
75°(√6 + √2)/4(√6 − √2)/42 + √3

For whole-degree values from 0° to 90°, see the trigonometry table.

Questions students ask

What is the value of tan 60°?

√3, which is about 1.7321.

What is tan 60° in radians?

60° is π/3 radians, so tan(π/3) = √3.

Is tan 60° equal to cot 30°?

Yes. tan θ = cot(90° − θ), so tan 60° = cot 30°.

Use these next

Trigonometry tableSin, cos, tan and more for standard angles, 0° to 360°.Maths formula sheetAlgebra to integrals, the formulas JEE Main uses most.Log tableFour-figure log table with mean differences, and a log calculator.Squares, cubes and rootsSquares, cubes, square roots and cube roots from 1 to 100.