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    Sin 179 Degrees

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

    What is sin 179°?

    Answer

    sin 179° ≈
    0.0175

    Angle in radians: 179° = 179π/180. The point of the angle is in quadrant II, where sine is positive.

    ≈ — rounded to 4 decimal places. sin 179° can't be written with square roots: 179° is not a multiple of 3°.

    sin 179° = sin(180° − 1°) = sin 1° ≈ 0.0175

    P(cos 179°, sin 179°) ≈ (−0.9998, 0.0175)

    xyOP

    P(cos 179°, sin 179°) ≈ (−0.9998, 0.0175)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.0175.

    All four functions of 179°
    FunctionExact valueDecimal
    sin 179°—≈ 0.0175
    cos 179°—≈ −0.9998
    tan 179°—≈ −0.0175
    cot 179°—≈ −57.2900

    Reference angle: sin 1° ≈ 0.0175

    See Also

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    https://calculat.io/en/number/trigonometry/sin--179Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--179">Sin 179 Degrees: Sine of 179° on the Unit Circle</a>Copy
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    Sin 179 Degrees: Sine of 179° on the Unit Circle. sin 179° ≈ 0.0175. The sine is the y-coordinate of the point at 179° on the unit circle; 179° reduces to 1°.
    https://calculat.io/en/number/trigonometry/sin--179/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    165°(√6 − √2)/4
    167°≈ 0.2250
    175°≈ 0.0872
    179°≈ 0.0175
    180°0
    195°−(√6 − √2)/4
    198°−(√5 − 1)/4
    Recalculate with different values ↑

    FAQ

    What is sin 179°?

    sin 179° ≈ 0.0175

    Why does sin 179° 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°. 179° is not, so no such exact form exists; the value is used as a decimal: sin 179° ≈ 0.0175.

    Why does a calculator show 0.0707 for sin 179?

    The calculator is in radian mode (RAD): it takes sin 179 as the sine of 179 radians, sin 179 rad ≈ 0.0707. Switch it to degrees (DEG): sin 179° ≈ 0.0175. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also