Feedback form
Hi! What do you think?

Drag it here or paste with Ctrl+V

    You can also email us on infocalculat.io

    Tan 5 Degrees

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

    What is tan 5°?

    Answer

    tan 5° ≈
    0.0875

    Angle in radians: 5° = π/36. The point of the angle is in quadrant I, where tangent is positive.

    ≈ — rounded to 4 decimal places. tan 5° can't be written with square roots: 5° is not a multiple of 3°.

    tan 5° = sin 5° / cos 5° ≈ 0.0875

    xyOP

    P(cos 5°, sin 5°) ≈ (0.9962, 0.0872)

    T(1, tan 5°) ≈ (1, 0.0875) — where line OP meets the line x = 1.

    All four functions of 5°
    FunctionExact valueDecimal
    sin 5°—≈ 0.0872
    cos 5°—≈ 0.9962
    tan 5°—≈ 0.0875
    cot 5°—≈ 11.4301

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/trigonometry/tan--5Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--5">Tan 5 Degrees: Tangent of 5° on the Unit Circle - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    Tan 5 Degrees: Tangent of 5° on the Unit Circle. tan 5° ≈ 0.0875. The tangent is the ratio y/x of the point at 5° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--5/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    2°≈ 0.0349
    3°≈ 0.0524
    4°≈ 0.0699
    5°≈ 0.0875
    6°≈ 0.1051
    7°≈ 0.1228
    8°≈ 0.1405
    Recalculate with different values ↑

    FAQ

    What is tan 5°?

    tan 5° ≈ 0.0875

    Why does tan 5° have no exact value?

    A trigonometric value of a whole number of degrees can be written with square roots only when the angle is a multiple of 3°. 5° is not, so no such exact form exists; the value is used as a decimal: tan 5° ≈ 0.0875.

    Why does a calculator show −3.3805 for tan 5?

    The calculator is in radian mode (RAD): it takes tan 5 as the tangent of 5 radians, tan 5 rad ≈ −3.3805. Switch it to degrees (DEG): tan 5° ≈ 0.0875. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also