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    Tan 101 Degrees

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

    What is tan 101°?

    Answer

    tan 101° ≈
    −5.1446

    Angle in radians: 101° = 101π/180. The point of the angle is in quadrant II, where tangent is negative.

    ≈ — rounded to 4 decimal places. tan 101° can't be written with square roots: 101° is not a multiple of 3°.

    tan 101° = tan(180° − 79°) = −tan 79° ≈ −5.1446

    tan 101° = sin 101° / cos 101° ≈ −5.1446

    xyOP

    P(cos 101°, sin 101°) ≈ (−0.1908, 0.9816)

    T(1, tan 101°) ≈ (1, −5.1446) — where line OP meets the line x = 1, on the extension of the ray beyond O (dashed); T is beyond the drawing, the arrow points to it.

    All four functions of 101°
    FunctionExact valueDecimal
    sin 101°—≈ 0.9816
    cos 101°—≈ −0.1908
    tan 101°—≈ −5.1446
    cot 101°—≈ −0.1944

    Reference angle: tan 79° ≈ 5.1446

    See Also

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    https://calculat.io/en/number/trigonometry/tan--101Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--101">Tan 101 Degrees: Tangent of 101° on the Unit Circle</a>Copy
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    Tan 101 Degrees: Tangent of 101° on the Unit Circle. tan 101° ≈ −5.1446. The tangent is the ratio y/x of the point at 101° on the unit circle; 101° reduces to 79°.
    https://calculat.io/en/number/trigonometry/tan--101/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    97°≈ −8.1443
    98°≈ −7.1154
    100°≈ −5.6713
    101°≈ −5.1446
    105°−2 − √3
    106°≈ −3.4874
    108°−√(5 + 2√5)
    Recalculate with different values ↑

    FAQ

    What is tan 101°?

    tan 101° ≈ −5.1446

    Why does tan 101° 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°. 101° is not, so no such exact form exists; the value is used as a decimal: tan 101° ≈ −5.1446.

    Why does a calculator show 0.5068 for tan 101?

    The calculator is in radian mode (RAD): it takes tan 101 as the tangent of 101 radians, tan 101 rad ≈ 0.5068. Switch it to degrees (DEG): tan 101° ≈ −5.1446. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also