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    Tan 61 Degrees

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

    What is tan 61°?

    Answer

    tan 61° ≈
    1.8040

    Angle in radians: 61° = 61π/180. The point of the angle is in quadrant I, where tangent is positive.

    ≈ — rounded to 4 decimal places. tan 61° can't be written with square roots: 61° is not a multiple of 3°.

    tan 61° = sin 61° / cos 61° ≈ 1.8040

    xyOP

    P(cos 61°, sin 61°) ≈ (0.4848, 0.8746)

    T(1, tan 61°) ≈ (1, 1.8040) — where line OP meets the line x = 1.

    All four functions of 61°
    FunctionExact valueDecimal
    sin 61°—≈ 0.8746
    cos 61°—≈ 0.4848
    tan 61°—≈ 1.8040
    cot 61°—≈ 0.5543

    See Also

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    https://calculat.io/en/number/trigonometry/tan--61Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--61">Tan 61 Degrees: Tangent of 61° on the Unit Circle</a>Copy
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    Tan 61 Degrees: Tangent of 61° on the Unit Circle. tan 61° ≈ 1.8040. The tangent is the ratio y/x of the point at 61° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--61/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    58°≈ 1.6003
    59°≈ 1.6643
    60°√3
    61°≈ 1.8040
    62°≈ 1.8807
    63°≈ 1.9626
    64°≈ 2.0503
    Recalculate with different values ↑

    FAQ

    What is tan 61°?

    tan 61° ≈ 1.8040

    Why does tan 61° 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°. 61° is not, so no such exact form exists; the value is used as a decimal: tan 61° ≈ 1.8040.

    Why does a calculator show 3.7432 for tan 61?

    The calculator is in radian mode (RAD): it takes tan 61 as the tangent of 61 radians, tan 61 rad ≈ 3.7432. Switch it to degrees (DEG): tan 61° ≈ 1.8040. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also