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    Tan 42 Degrees

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

    What is tan 42°?

    Answer

    tan 42° ≈
    0.9004

    Angle in radians: 42° = 7π/30. The point of the angle is in quadrant I, where tangent is positive.

    ≈ — rounded to 4 decimal places. An exact form of tan 42° in square roots exists, but it is unwieldy — nested radicals.

    tan 42° = sin 42° / cos 42° ≈ 0.9004

    xyOP

    P(cos 42°, sin 42°) ≈ (0.7431, 0.6691)

    T(1, tan 42°) ≈ (1, 0.9004) — where line OP meets the line x = 1.

    All four functions of 42°
    FunctionExact valueDecimal
    sin 42°—≈ 0.6691
    cos 42°—≈ 0.7431
    tan 42°—≈ 0.9004
    cot 42°—≈ 1.1106

    See Also

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    https://calculat.io/en/number/trigonometry/tan--42Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--42">Tan 42 Degrees: Tangent of 42° on the Unit Circle</a>Copy
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    Tan 42 Degrees: Tangent of 42° on the Unit Circle. tan 42° ≈ 0.9004. The tangent is the ratio y/x of the point at 42° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--42/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    39°≈ 0.8098
    40°≈ 0.8391
    41°≈ 0.8693
    42°≈ 0.9004
    43°≈ 0.9325
    44°≈ 0.9657
    45°1
    Recalculate with different values ↑

    FAQ

    What is tan 42°?

    tan 42° ≈ 0.9004

    Is there an exact value of tan 42°?

    Yes: 42° is a multiple of 3°, and the values of such angles can be written with square roots — but the expression is unwieldy, with nested radicals built from the values of 18° and 15° (3° = 18° − 15°). In practice the decimal is used: tan 42° ≈ 0.9004.

    Why does a calculator show 2.2914 for tan 42?

    The calculator is in radian mode (RAD): it takes tan 42 as the tangent of 42 radians, tan 42 rad ≈ 2.2914. Switch it to degrees (DEG): tan 42° ≈ 0.9004. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also