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    Sin 16 Degrees

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

    What is sin 16°?

    Answer

    sin 16° ≈
    0.2756

    Angle in radians: 16° = 4π/45. The point of the angle is in quadrant I, where sine is positive.

    ≈ — rounded to 4 decimal places. sin 16° can't be written with square roots: 16° is not a multiple of 3°.

    P(cos 16°, sin 16°) ≈ (0.9613, 0.2756)

    xyOP

    P(cos 16°, sin 16°) ≈ (0.9613, 0.2756)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.2756.

    All four functions of 16°
    FunctionExact valueDecimal
    sin 16°—≈ 0.2756
    cos 16°—≈ 0.9613
    tan 16°—≈ 0.2867
    cot 16°—≈ 3.4874

    See Also

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    https://calculat.io/en/number/trigonometry/sin--16Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--16">Sin 16 Degrees: Sine of 16° on the Unit Circle - Calculatio</a>Copy
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    Sin 16 Degrees: Sine of 16° on the Unit Circle. sin 16° ≈ 0.2756. The sine is the y-coordinate of the point at 16° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--16/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    13°≈ 0.2250
    14°≈ 0.2419
    15°(√6 − √2)/4
    16°≈ 0.2756
    17°≈ 0.2924
    18°(√5 − 1)/4
    19°≈ 0.3256
    Recalculate with different values ↑

    FAQ

    What is sin 16°?

    sin 16° ≈ 0.2756

    Why does sin 16° 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°. 16° is not, so no such exact form exists; the value is used as a decimal: sin 16° ≈ 0.2756.

    Why does a calculator show −0.2879 for sin 16?

    The calculator is in radian mode (RAD): it takes sin 16 as the sine of 16 radians, sin 16 rad ≈ −0.2879. Switch it to degrees (DEG): sin 16° ≈ 0.2756. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also