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    Tan 27 Degrees

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

    What is tan 27°?

    Answer

    tan 27° ≈
    0.5095

    Angle in radians: 27° = 3π/20. The point of the angle is in quadrant I, where tangent is positive.

    ≈ — rounded to 4 decimal places. An exact form of tan 27° in square roots exists, but it is unwieldy — nested radicals.

    tan 27° = sin 27° / cos 27° ≈ 0.5095

    xyOP

    P(cos 27°, sin 27°) ≈ (0.8910, 0.4540)

    T(1, tan 27°) ≈ (1, 0.5095) — where line OP meets the line x = 1.

    All four functions of 27°
    FunctionExact valueDecimal
    sin 27°—≈ 0.4540
    cos 27°—≈ 0.8910
    tan 27°—≈ 0.5095
    cot 27°—≈ 1.9626

    See Also

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    https://calculat.io/en/number/trigonometry/tan--27Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--27">Tan 27 Degrees: Tangent of 27° on the Unit Circle</a>Copy
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    Tan 27 Degrees: Tangent of 27° on the Unit Circle. tan 27° ≈ 0.5095. The tangent is the ratio y/x of the point at 27° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--27/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    24°≈ 0.4452
    25°≈ 0.4663
    26°≈ 0.4877
    27°≈ 0.5095
    28°≈ 0.5317
    29°≈ 0.5543
    30°√3/3
    Recalculate with different values ↑

    FAQ

    What is tan 27°?

    tan 27° ≈ 0.5095

    Is there an exact value of tan 27°?

    Yes: 27° 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 27° ≈ 0.5095.

    Why does a calculator show −3.2737 for tan 27?

    The calculator is in radian mode (RAD): it takes tan 27 as the tangent of 27 radians, tan 27 rad ≈ −3.2737. Switch it to degrees (DEG): tan 27° ≈ 0.5095. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also