Tan 60 Degrees

Sin, Cos, Tan, Cot of an Angle
Function
Angle (°)

What is tan 60°?

Answer

tan 60° =
√3 ≈ 1.7321

Angle in radians: 60° = π/3. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places.

tan 60° = sin 60° / cos 60° = (√3/2) / (1/2) = √3

Half of an equilateral triangle with side 1: the hypotenuse is 1 and the leg opposite 30° is 1/2.

tan 60° = (√3/2) / (1/2) = √3

xyOP

P(cos 60°, sin 60°) ≈ (0.5, 0.8660)

T(1, tan 60°) ≈ (1, 1.7321) — where line OP meets the line x = 1.

All four functions of 60°
FunctionExact valueDecimal
sin 60°√3/2≈ 0.8660
cos 60°1/20.5
tan 60°√3≈ 1.7321
cot 60°√3/3≈ 0.5774

See Also

Recalculate with different values ↑

Tangent of nearby angles

Angletan
57°≈ 1.5399
58°≈ 1.6003
59°≈ 1.6643
60°√3
61°≈ 1.8040
62°≈ 1.8807
63°≈ 1.9626

FAQ

What is tan 60°?

tan 60° = √3 ≈ 1.7321

How to remember sin 30°, sin 45° and sin 60°?

Write them as √1/2, √2/2, √3/2: sin 30° = 1/2, sin 45° = √2/2, sin 60° = √3/2. Cosines are the same numbers in reverse order: cos 30° = √3/2, cos 45° = √2/2, cos 60° = 1/2; tan = sin / cos and cot = cos / sin. Here: tan 60° = √3 ≈ 1.7321.

Why does a calculator show 0.3200 for tan 60?

The calculator is in radian mode (RAD): it takes tan 60 as the tangent of 60 radians, tan 60 rad ≈ 0.3200. Switch it to degrees (DEG): tan 60° = √3 ≈ 1.7321. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also