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    Tan 59 Degrees

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

    What is tan 59°?

    Answer

    tan 59° ≈
    1.6643

    Angle in radians: 59° = 59π/180. The point of the angle is in quadrant I, where tangent is positive.

    ≈ — rounded to 4 decimal places. tan 59° can't be written with square roots: 59° is not a multiple of 3°.

    tan 59° = sin 59° / cos 59° ≈ 1.6643

    xyOP

    P(cos 59°, sin 59°) ≈ (0.5150, 0.8572)

    T(1, tan 59°) ≈ (1, 1.6643) — where line OP meets the line x = 1.

    All four functions of 59°
    FunctionExact valueDecimal
    sin 59°—≈ 0.8572
    cos 59°—≈ 0.5150
    tan 59°—≈ 1.6643
    cot 59°—≈ 0.6009

    See Also

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    https://calculat.io/en/number/trigonometry/tan--59Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--59">Tan 59 Degrees: Tangent of 59° on the Unit Circle</a>Copy
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    Tan 59 Degrees: Tangent of 59° on the Unit Circle. tan 59° ≈ 1.6643. The tangent is the ratio y/x of the point at 59° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--59/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    56°≈ 1.4826
    57°≈ 1.5399
    58°≈ 1.6003
    59°≈ 1.6643
    60°√3
    61°≈ 1.8040
    62°≈ 1.8807
    Recalculate with different values ↑

    FAQ

    What is tan 59°?

    tan 59° ≈ 1.6643

    Why does tan 59° 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°. 59° is not, so no such exact form exists; the value is used as a decimal: tan 59° ≈ 1.6643.

    Why does a calculator show −0.8258 for tan 59?

    The calculator is in radian mode (RAD): it takes tan 59 as the tangent of 59 radians, tan 59 rad ≈ −0.8258. Switch it to degrees (DEG): tan 59° ≈ 1.6643. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also