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    Tan 68 Degrees

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

    What is tan 68°?

    Answer

    tan 68° ≈
    2.4751

    Angle in radians: 68° = 17π/45. The point of the angle is in quadrant I, where tangent is positive.

    ≈ — rounded to 4 decimal places. tan 68° can't be written with square roots: 68° is not a multiple of 3°.

    tan 68° = sin 68° / cos 68° ≈ 2.4751

    xyOP

    P(cos 68°, sin 68°) ≈ (0.3746, 0.9272)

    T(1, tan 68°) ≈ (1, 2.4751) — where line OP meets the line x = 1; T is beyond the drawing, the arrow points to it.

    All four functions of 68°
    FunctionExact valueDecimal
    sin 68°—≈ 0.9272
    cos 68°—≈ 0.3746
    tan 68°—≈ 2.4751
    cot 68°—≈ 0.4040

    See Also

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    https://calculat.io/en/number/trigonometry/tan--68Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--68">Tan 68 Degrees: Tangent of 68° on the Unit Circle</a>Copy
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    Tan 68 Degrees: Tangent of 68° on the Unit Circle. tan 68° ≈ 2.4751. The tangent is the ratio y/x of the point at 68° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--68/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    65°≈ 2.1445
    66°≈ 2.2460
    67°≈ 2.3559
    68°≈ 2.4751
    69°≈ 2.6051
    70°≈ 2.7475
    71°≈ 2.9042
    Recalculate with different values ↑

    FAQ

    What is tan 68°?

    tan 68° ≈ 2.4751

    Why does tan 68° 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°. 68° is not, so no such exact form exists; the value is used as a decimal: tan 68° ≈ 2.4751.

    Why does a calculator show −2.0401 for tan 68?

    The calculator is in radian mode (RAD): it takes tan 68 as the tangent of 68 radians, tan 68 rad ≈ −2.0401. Switch it to degrees (DEG): tan 68° ≈ 2.4751. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also