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    Sin 100 Degrees

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

    What is sin 100°?

    Answer

    sin 100° ≈
    0.9848

    Angle in radians: 100° = 5π/9. The point of the angle is in quadrant II, where sine is positive.

    ≈ — rounded to 4 decimal places. sin 100° can't be written with square roots: 100° is not a multiple of 3°.

    sin 100° = sin(180° − 80°) = sin 80° ≈ 0.9848

    P(cos 100°, sin 100°) ≈ (−0.1736, 0.9848)

    xyOP

    P(cos 100°, sin 100°) ≈ (−0.1736, 0.9848)

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

    All four functions of 100°
    FunctionExact valueDecimal
    sin 100°—≈ 0.9848
    cos 100°—≈ −0.1736
    tan 100°—≈ −5.6713
    cot 100°—≈ −0.1763

    Reference angle: sin 80° ≈ 0.9848

    See Also

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    https://calculat.io/en/number/trigonometry/sin--100Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--100">Sin 100 Degrees: Sine of 100° on the Unit Circle</a>Copy
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    Sin 100 Degrees: Sine of 100° on the Unit Circle. sin 100° ≈ 0.9848. The sine is the y-coordinate of the point at 100° on the unit circle; 100° reduces to 80°.
    https://calculat.io/en/number/trigonometry/sin--100/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    90°1
    97°≈ 0.9925
    98°≈ 0.9903
    100°≈ 0.9848
    101°≈ 0.9816
    105°(√6 + √2)/4
    106°≈ 0.9613
    Recalculate with different values ↑

    FAQ

    What is sin 100°?

    sin 100° ≈ 0.9848

    Why does sin 100° 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°. 100° is not, so no such exact form exists; the value is used as a decimal: sin 100° ≈ 0.9848.

    Why does a calculator show −0.5064 for sin 100?

    The calculator is in radian mode (RAD): it takes sin 100 as the sine of 100 radians, sin 100 rad ≈ −0.5064. Switch it to degrees (DEG): sin 100° ≈ 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