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    Tan 142 Degrees

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

    What is tan 142°?

    Answer

    tan 142° ≈
    −0.7813

    Angle in radians: 142° = 71π/90. The point of the angle is in quadrant II, where tangent is negative.

    ≈ — rounded to 4 decimal places. tan 142° can't be written with square roots: 142° is not a multiple of 3°.

    tan 142° = tan(180° − 38°) = −tan 38° ≈ −0.7813

    tan 142° = sin 142° / cos 142° ≈ −0.7813

    xyOP

    P(cos 142°, sin 142°) ≈ (−0.7880, 0.6157)

    T(1, tan 142°) ≈ (1, −0.7813) — where line OP meets the line x = 1, on the extension of the ray beyond O (dashed).

    All four functions of 142°
    FunctionExact valueDecimal
    sin 142°—≈ 0.6157
    cos 142°—≈ −0.7880
    tan 142°—≈ −0.7813
    cot 142°—≈ −1.2799

    Reference angle: tan 38° ≈ 0.7813

    See Also

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    https://calculat.io/en/number/trigonometry/tan--142Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--142">Tan 142 Degrees: Tangent of 142° on the Unit Circle</a>Copy
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    Tan 142 Degrees: Tangent of 142° on the Unit Circle. tan 142° ≈ −0.7813. The tangent is the ratio y/x of the point at 142° on the unit circle; 142° reduces to 38°.
    https://calculat.io/en/number/trigonometry/tan--142/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    134°≈ −1.0355
    135°−1
    140°≈ −0.8391
    142°≈ −0.7813
    144°−√(5 − 2√5)
    145°≈ −0.7002
    150°−√3/3
    Recalculate with different values ↑

    FAQ

    What is tan 142°?

    tan 142° ≈ −0.7813

    Why does tan 142° 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°. 142° is not, so no such exact form exists; the value is used as a decimal: tan 142° ≈ −0.7813.

    Why does a calculator show 0.7266 for tan 142?

    The calculator is in radian mode (RAD): it takes tan 142 as the tangent of 142 radians, tan 142 rad ≈ 0.7266. Switch it to degrees (DEG): tan 142° ≈ −0.7813. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also