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    Tan 82 Degrees

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

    What is tan 82°?

    Answer

    tan 82° ≈
    7.1154

    Angle in radians: 82° = 41π/90. The point of the angle is in quadrant I, where tangent is positive.

    ≈ — rounded to 4 decimal places. tan 82° can't be written with square roots: 82° is not a multiple of 3°.

    tan 82° = sin 82° / cos 82° ≈ 7.1154

    xyOP

    P(cos 82°, sin 82°) ≈ (0.1392, 0.9903)

    T(1, tan 82°) ≈ (1, 7.1154) — where line OP meets the line x = 1; T is beyond the drawing, the arrow points to it.

    All four functions of 82°
    FunctionExact valueDecimal
    sin 82°—≈ 0.9903
    cos 82°—≈ 0.1392
    tan 82°—≈ 7.1154
    cot 82°—≈ 0.1405

    See Also

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    https://calculat.io/en/number/trigonometry/tan--82Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--82">Tan 82 Degrees: Tangent of 82° on the Unit Circle</a>Copy
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    Tan 82 Degrees: Tangent of 82° on the Unit Circle. tan 82° ≈ 7.1154. The tangent is the ratio y/x of the point at 82° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--82/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    79°≈ 5.1446
    80°≈ 5.6713
    81°≈ 6.3138
    82°≈ 7.1154
    83°≈ 8.1443
    84°≈ 9.5144
    85°≈ 11.4301
    Recalculate with different values ↑

    FAQ

    What is tan 82°?

    tan 82° ≈ 7.1154

    Why does tan 82° 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°. 82° is not, so no such exact form exists; the value is used as a decimal: tan 82° ≈ 7.1154.

    Why does a calculator show 0.3298 for tan 82?

    The calculator is in radian mode (RAD): it takes tan 82 as the tangent of 82 radians, tan 82 rad ≈ 0.3298. Switch it to degrees (DEG): tan 82° ≈ 7.1154. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also