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    Tan 67 Degrees

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

    What is tan 67°?

    Answer

    tan 67° ≈
    2.3559

    Angle in radians: 67° = 67π/180. The point of the angle is in quadrant I, where tangent is positive.

    ≈ — rounded to 4 decimal places. tan 67° can't be written with square roots: 67° is not a multiple of 3°.

    tan 67° = sin 67° / cos 67° ≈ 2.3559

    xyOP

    P(cos 67°, sin 67°) ≈ (0.3907, 0.9205)

    T(1, tan 67°) ≈ (1, 2.3559) — where line OP meets the line x = 1; T is beyond the drawing, the arrow points to it.

    All four functions of 67°
    FunctionExact valueDecimal
    sin 67°—≈ 0.9205
    cos 67°—≈ 0.3907
    tan 67°—≈ 2.3559
    cot 67°—≈ 0.4245

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    https://calculat.io/en/number/trigonometry/tan--67Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--67">Tan 67 Degrees: Tangent of 67° on the Unit Circle</a>Copy
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    Tan 67 Degrees: Tangent of 67° on the Unit Circle. tan 67° ≈ 2.3559. The tangent is the ratio y/x of the point at 67° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--67/generated.jpgCopy

    FAQ

    What is tan 67°?

    tan 67° ≈ 2.3559

    Why does tan 67° 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°. 67° is not, so no such exact form exists; the value is used as a decimal: tan 67° ≈ 2.3559.

    Why does a calculator show 1.6523 for tan 67?

    The calculator is in radian mode (RAD): it takes tan 67 as the tangent of 67 radians, tan 67 rad ≈ 1.6523. Switch it to degrees (DEG): tan 67° ≈ 2.3559. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.