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    Tan 71 Degrees

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

    What is tan 71°?

    Answer

    tan 71° ≈
    2.9042

    Angle in radians: 71° = 71π/180. The point of the angle is in quadrant I, where tangent is positive.

    ≈ — rounded to 4 decimal places. tan 71° can't be written with square roots: 71° is not a multiple of 3°.

    tan 71° = sin 71° / cos 71° ≈ 2.9042

    xyOP

    P(cos 71°, sin 71°) ≈ (0.3256, 0.9455)

    T(1, tan 71°) ≈ (1, 2.9042) — where line OP meets the line x = 1; T is beyond the drawing, the arrow points to it.

    All four functions of 71°
    FunctionExact valueDecimal
    sin 71°—≈ 0.9455
    cos 71°—≈ 0.3256
    tan 71°—≈ 2.9042
    cot 71°—≈ 0.3443

    See Also

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    https://calculat.io/en/number/trigonometry/tan--71Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--71">Tan 71 Degrees: Tangent of 71° on the Unit Circle</a>Copy
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    Tan 71 Degrees: Tangent of 71° on the Unit Circle. tan 71° ≈ 2.9042. The tangent is the ratio y/x of the point at 71° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--71/generated.jpgCopy

    FAQ

    What is tan 71°?

    tan 71° ≈ 2.9042

    Why does tan 71° 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°. 71° is not, so no such exact form exists; the value is used as a decimal: tan 71° ≈ 2.9042.

    Why does a calculator show −3.0776 for tan 71?

    The calculator is in radian mode (RAD): it takes tan 71 as the tangent of 71 radians, tan 71 rad ≈ −3.0776. Switch it to degrees (DEG): tan 71° ≈ 2.9042. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.