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    Tan 74 Degrees

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

    What is tan 74°?

    Answer

    tan 74° ≈
    3.4874

    Angle in radians: 74° = 37π/90. The point of the angle is in quadrant I, where tangent is positive.

    ≈ — rounded to 4 decimal places. tan 74° can't be written with square roots: 74° is not a multiple of 3°.

    tan 74° = sin 74° / cos 74° ≈ 3.4874

    xyOP

    P(cos 74°, sin 74°) ≈ (0.2756, 0.9613)

    T(1, tan 74°) ≈ (1, 3.4874) — where line OP meets the line x = 1; T is beyond the drawing, the arrow points to it.

    All four functions of 74°
    FunctionExact valueDecimal
    sin 74°—≈ 0.9613
    cos 74°—≈ 0.2756
    tan 74°—≈ 3.4874
    cot 74°—≈ 0.2867

    See Also

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    https://calculat.io/en/number/trigonometry/tan--74Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--74">Tan 74 Degrees: Tangent of 74° on the Unit Circle</a>Copy
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    Tan 74 Degrees: Tangent of 74° on the Unit Circle. tan 74° ≈ 3.4874. The tangent is the ratio y/x of the point at 74° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--74/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    71°≈ 2.9042
    72°√(5 + 2√5)
    73°≈ 3.2709
    74°≈ 3.4874
    75°2 + √3
    76°≈ 4.0108
    77°≈ 4.3315
    Recalculate with different values ↑

    FAQ

    What is tan 74°?

    tan 74° ≈ 3.4874

    Why does tan 74° 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°. 74° is not, so no such exact form exists; the value is used as a decimal: tan 74° ≈ 3.4874.

    Why does a calculator show −5.7370 for tan 74?

    The calculator is in radian mode (RAD): it takes tan 74 as the tangent of 74 radians, tan 74 rad ≈ −5.7370. Switch it to degrees (DEG): tan 74° ≈ 3.4874. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also