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    Sin 80 Degrees

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

    What is sin 80°?

    Answer

    sin 80° ≈
    0.9848

    Angle in radians: 80° = 4π/9. The point of the angle is in quadrant I, where sine is positive.

    ≈ — rounded to 4 decimal places. sin 80° can't be written with square roots: 80° is not a multiple of 3°.

    P(cos 80°, sin 80°) ≈ (0.1736, 0.9848)

    xyOP

    P(cos 80°, sin 80°) ≈ (0.1736, 0.9848)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.9848.

    All four functions of 80°
    FunctionExact valueDecimal
    sin 80°—≈ 0.9848
    cos 80°—≈ 0.1736
    tan 80°—≈ 5.6713
    cot 80°—≈ 0.1763

    See Also

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    <a href="https://calculat.io/en/number/trigonometry/sin--80">Sin 80 Degrees: Sine of 80° on the Unit Circle - Calculatio</a>Copy
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    Sin 80 Degrees: Sine of 80° on the Unit Circle. sin 80° ≈ 0.9848. The sine is the y-coordinate of the point at 80° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--80/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    77°≈ 0.9744
    78°≈ 0.9781
    79°≈ 0.9816
    80°≈ 0.9848
    81°≈ 0.9877
    82°≈ 0.9903
    83°≈ 0.9925
    Recalculate with different values ↑

    FAQ

    What is sin 80°?

    sin 80° ≈ 0.9848

    Why does sin 80° 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°. 80° is not, so no such exact form exists; the value is used as a decimal: sin 80° ≈ 0.9848.

    Why does a calculator show −0.9939 for sin 80?

    The calculator is in radian mode (RAD): it takes sin 80 as the sine of 80 radians, sin 80 rad ≈ −0.9939. Switch it to degrees (DEG): sin 80° ≈ 0.9848. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also