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    Sin 85 Degrees

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

    What is sin 85°?

    Answer

    sin 85° ≈
    0.9962

    Angle in radians: 85° = 17π/36. The point of the angle is in quadrant I, where sine is positive.

    ≈ — rounded to 4 decimal places. sin 85° can't be written with square roots: 85° is not a multiple of 3°.

    P(cos 85°, sin 85°) ≈ (0.0872, 0.9962)

    xyOP

    P(cos 85°, sin 85°) ≈ (0.0872, 0.9962)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.9962.

    All four functions of 85°
    FunctionExact valueDecimal
    sin 85°—≈ 0.9962
    cos 85°—≈ 0.0872
    tan 85°—≈ 11.4301
    cot 85°—≈ 0.0875

    See Also

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    <a href="https://calculat.io/en/number/trigonometry/sin--85">Sin 85 Degrees: Sine of 85° on the Unit Circle - Calculatio</a>Copy
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    Sin 85 Degrees: Sine of 85° on the Unit Circle. sin 85° ≈ 0.9962. The sine is the y-coordinate of the point at 85° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--85/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    82°≈ 0.9903
    83°≈ 0.9925
    84°≈ 0.9945
    85°≈ 0.9962
    86°≈ 0.9976
    87°≈ 0.9986
    88°≈ 0.9994
    Recalculate with different values ↑

    FAQ

    What is sin 85°?

    sin 85° ≈ 0.9962

    Why does sin 85° 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°. 85° is not, so no such exact form exists; the value is used as a decimal: sin 85° ≈ 0.9962.

    Why does a calculator show −0.1761 for sin 85?

    The calculator is in radian mode (RAD): it takes sin 85 as the sine of 85 radians, sin 85 rad ≈ −0.1761. Switch it to degrees (DEG): sin 85° ≈ 0.9962. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also