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    Tan 77 Degrees

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

    What is tan 77°?

    Answer

    tan 77° ≈
    4.3315

    Angle in radians: 77° = 77π/180. The point of the angle is in quadrant I, where tangent is positive.

    ≈ — rounded to 4 decimal places. tan 77° can't be written with square roots: 77° is not a multiple of 3°.

    tan 77° = sin 77° / cos 77° ≈ 4.3315

    xyOP

    P(cos 77°, sin 77°) ≈ (0.2250, 0.9744)

    T(1, tan 77°) ≈ (1, 4.3315) — where line OP meets the line x = 1; T is beyond the drawing, the arrow points to it.

    All four functions of 77°
    FunctionExact valueDecimal
    sin 77°—≈ 0.9744
    cos 77°—≈ 0.2250
    tan 77°—≈ 4.3315
    cot 77°—≈ 0.2309

    See Also

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    https://calculat.io/en/number/trigonometry/tan--77Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--77">Tan 77 Degrees: Tangent of 77° on the Unit Circle</a>Copy
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    Tan 77 Degrees: Tangent of 77° on the Unit Circle. tan 77° ≈ 4.3315. The tangent is the ratio y/x of the point at 77° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--77/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    74°≈ 3.4874
    75°2 + √3
    76°≈ 4.0108
    77°≈ 4.3315
    78°≈ 4.7046
    79°≈ 5.1446
    80°≈ 5.6713
    Recalculate with different values ↑

    FAQ

    What is tan 77°?

    tan 77° ≈ 4.3315

    Why does tan 77° 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°. 77° is not, so no such exact form exists; the value is used as a decimal: tan 77° ≈ 4.3315.

    Why does a calculator show −32.2686 for tan 77?

    The calculator is in radian mode (RAD): it takes tan 77 as the tangent of 77 radians, tan 77 rad ≈ −32.2686. Switch it to degrees (DEG): tan 77° ≈ 4.3315. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also