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    Tan 16 Degrees

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

    What is tan 16°?

    Answer

    tan 16° ≈
    0.2867

    Angle in radians: 16° = 4π/45. The point of the angle is in quadrant I, where tangent is positive.

    ≈ — rounded to 4 decimal places. tan 16° can't be written with square roots: 16° is not a multiple of 3°.

    tan 16° = sin 16° / cos 16° ≈ 0.2867

    xyOP

    P(cos 16°, sin 16°) ≈ (0.9613, 0.2756)

    T(1, tan 16°) ≈ (1, 0.2867) — where line OP meets the line x = 1.

    All four functions of 16°
    FunctionExact valueDecimal
    sin 16°—≈ 0.2756
    cos 16°—≈ 0.9613
    tan 16°—≈ 0.2867
    cot 16°—≈ 3.4874

    See Also

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    https://calculat.io/en/number/trigonometry/tan--16Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--16">Tan 16 Degrees: Tangent of 16° on the Unit Circle</a>Copy
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    Tan 16 Degrees: Tangent of 16° on the Unit Circle. tan 16° ≈ 0.2867. The tangent is the ratio y/x of the point at 16° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--16/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    13°≈ 0.2309
    14°≈ 0.2493
    15°2 − √3
    16°≈ 0.2867
    17°≈ 0.3057
    18°√(25 − 10√5)/5
    19°≈ 0.3443
    Recalculate with different values ↑

    FAQ

    What is tan 16°?

    tan 16° ≈ 0.2867

    Why does tan 16° 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°. 16° is not, so no such exact form exists; the value is used as a decimal: tan 16° ≈ 0.2867.

    Why does a calculator show 0.3006 for tan 16?

    The calculator is in radian mode (RAD): it takes tan 16 as the tangent of 16 radians, tan 16 rad ≈ 0.3006. Switch it to degrees (DEG): tan 16° ≈ 0.2867. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also