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    Tan 3 Degrees

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

    What is tan 3°?

    Answer

    tan 3° ≈
    0.0524

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

    ≈ — rounded to 4 decimal places. An exact form of tan 3° in square roots exists, but it is unwieldy — nested radicals.

    tan 3° = sin 3° / cos 3° ≈ 0.0524

    xyOP

    P(cos 3°, sin 3°) ≈ (0.9986, 0.0523)

    T(1, tan 3°) ≈ (1, 0.0524) — where line OP meets the line x = 1.

    All four functions of 3°
    FunctionExact valueDecimal
    sin 3°—≈ 0.0523
    cos 3°—≈ 0.9986
    tan 3°—≈ 0.0524
    cot 3°—≈ 19.0811

    See Also

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    https://calculat.io/en/number/trigonometry/tan--3Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--3">Tan 3 Degrees: Tangent of 3° on the Unit Circle - Calculatio</a>Copy
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    Tan 3 Degrees: Tangent of 3° on the Unit Circle. tan 3° ≈ 0.0524. The tangent is the ratio y/x of the point at 3° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--3/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    0°0
    1°≈ 0.0175
    2°≈ 0.0349
    3°≈ 0.0524
    4°≈ 0.0699
    5°≈ 0.0875
    6°≈ 0.1051
    Recalculate with different values ↑

    FAQ

    What is tan 3°?

    tan 3° ≈ 0.0524

    Is there an exact value of tan 3°?

    Yes: 3° is a multiple of 3°, and the values of such angles can be written with square roots — but the expression is unwieldy, with nested radicals built from the values of 18° and 15° (3° = 18° − 15°). In practice the decimal is used: tan 3° ≈ 0.0524.

    Why does a calculator show −0.1425 for tan 3?

    The calculator is in radian mode (RAD): it takes tan 3 as the tangent of 3 radians, tan 3 rad ≈ −0.1425. Switch it to degrees (DEG): tan 3° ≈ 0.0524. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also