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    Tan 84 Degrees

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

    What is tan 84°?

    Answer

    tan 84° ≈
    9.5144

    Angle in radians: 84° = 7π/15. The point of the angle is in quadrant I, where tangent is positive.

    ≈ — rounded to 4 decimal places. An exact form of tan 84° in square roots exists, but it is unwieldy — nested radicals.

    tan 84° = sin 84° / cos 84° ≈ 9.5144

    xyOP

    P(cos 84°, sin 84°) ≈ (0.1045, 0.9945)

    T(1, tan 84°) ≈ (1, 9.5144) — where line OP meets the line x = 1; T is beyond the drawing, the arrow points to it.

    All four functions of 84°
    FunctionExact valueDecimal
    sin 84°—≈ 0.9945
    cos 84°—≈ 0.1045
    tan 84°—≈ 9.5144
    cot 84°—≈ 0.1051

    See Also

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    https://calculat.io/en/number/trigonometry/tan--84Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--84">Tan 84 Degrees: Tangent of 84° on the Unit Circle</a>Copy
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    Tan 84 Degrees: Tangent of 84° on the Unit Circle. tan 84° ≈ 9.5144. The tangent is the ratio y/x of the point at 84° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--84/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    81°≈ 6.3138
    82°≈ 7.1154
    83°≈ 8.1443
    84°≈ 9.5144
    85°≈ 11.4301
    86°≈ 14.3007
    87°≈ 19.0811
    Recalculate with different values ↑

    FAQ

    What is tan 84°?

    tan 84° ≈ 9.5144

    Is there an exact value of tan 84°?

    Yes: 84° 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 84° ≈ 9.5144.

    Why does a calculator show −1.0782 for tan 84?

    The calculator is in radian mode (RAD): it takes tan 84 as the tangent of 84 radians, tan 84 rad ≈ −1.0782. Switch it to degrees (DEG): tan 84° ≈ 9.5144. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also