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    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

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    https://calculat.io/en/number/trigonometry/tan--60Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--60">Tan 60 Degrees: Tangent of 60° on the Unit Circle</a>Copy
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    Tan 60 Degrees: Tangent of 60° on the Unit Circle. tan 60° = √3 ≈ 1.7321. The tangent is the ratio y/x of the point at 60° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--60/generated.jpgCopy

    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
    Recalculate with different values ↑

    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