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    Sin 140 Degrees

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

    What is sin 140°?

    Answer

    sin 140° ≈
    0.6428

    Angle in radians: 140° = 7π/9. The point of the angle is in quadrant II, where sine is positive.

    ≈ — rounded to 4 decimal places. sin 140° can't be written with square roots: 140° is not a multiple of 3°.

    sin 140° = sin(180° − 40°) = sin 40° ≈ 0.6428

    P(cos 140°, sin 140°) ≈ (−0.7660, 0.6428)

    xyOP

    P(cos 140°, sin 140°) ≈ (−0.7660, 0.6428)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.6428.

    All four functions of 140°
    FunctionExact valueDecimal
    sin 140°—≈ 0.6428
    cos 140°—≈ −0.7660
    tan 140°—≈ −0.8391
    cot 140°—≈ −1.1918

    Reference angle: sin 40° ≈ 0.6428

    See Also

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    https://calculat.io/en/number/trigonometry/sin--140Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--140">Sin 140 Degrees: Sine of 140° on the Unit Circle</a>Copy
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    Sin 140 Degrees: Sine of 140° on the Unit Circle. sin 140° ≈ 0.6428. The sine is the y-coordinate of the point at 140° on the unit circle; 140° reduces to 40°.
    https://calculat.io/en/number/trigonometry/sin--140/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    130°≈ 0.7660
    134°≈ 0.7193
    135°√2/2
    140°≈ 0.6428
    142°≈ 0.6157
    144°√(10 − 2√5)/4
    145°≈ 0.5736
    Recalculate with different values ↑

    FAQ

    What is sin 140°?

    sin 140° ≈ 0.6428

    Why does sin 140° 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°. 140° is not, so no such exact form exists; the value is used as a decimal: sin 140° ≈ 0.6428.

    Why does a calculator show 0.9802 for sin 140?

    The calculator is in radian mode (RAD): it takes sin 140 as the sine of 140 radians, sin 140 rad ≈ 0.9802. Switch it to degrees (DEG): sin 140° ≈ 0.6428. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also