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    Tan 76 Degrees

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

    What is tan 76°?

    Answer

    tan 76° ≈
    4.0108

    Angle in radians: 76° = 19π/45. The point of the angle is in quadrant I, where tangent is positive.

    ≈ — rounded to 4 decimal places. tan 76° can't be written with square roots: 76° is not a multiple of 3°.

    tan 76° = sin 76° / cos 76° ≈ 4.0108

    xyOP

    P(cos 76°, sin 76°) ≈ (0.2419, 0.9703)

    T(1, tan 76°) ≈ (1, 4.0108) — where line OP meets the line x = 1; T is beyond the drawing, the arrow points to it.

    All four functions of 76°
    FunctionExact valueDecimal
    sin 76°—≈ 0.9703
    cos 76°—≈ 0.2419
    tan 76°—≈ 4.0108
    cot 76°—≈ 0.2493

    See Also

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    https://calculat.io/en/number/trigonometry/tan--76Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--76">Tan 76 Degrees: Tangent of 76° on the Unit Circle</a>Copy
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    Tan 76 Degrees: Tangent of 76° on the Unit Circle. tan 76° ≈ 4.0108. The tangent is the ratio y/x of the point at 76° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--76/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    73°≈ 3.2709
    74°≈ 3.4874
    75°2 + √3
    76°≈ 4.0108
    77°≈ 4.3315
    78°≈ 4.7046
    79°≈ 5.1446
    Recalculate with different values ↑

    FAQ

    What is tan 76°?

    tan 76° ≈ 4.0108

    Why does tan 76° 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°. 76° is not, so no such exact form exists; the value is used as a decimal: tan 76° ≈ 4.0108.

    Why does a calculator show 0.6867 for tan 76?

    The calculator is in radian mode (RAD): it takes tan 76 as the tangent of 76 radians, tan 76 rad ≈ 0.6867. Switch it to degrees (DEG): tan 76° ≈ 4.0108. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also