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    Sin 27 Degrees

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

    What is sin 27°?

    Answer

    sin 27° ≈
    0.4540

    Angle in radians: 27° = 3π/20. The point of the angle is in quadrant I, where sine is positive.

    ≈ — rounded to 4 decimal places. An exact form of sin 27° in square roots exists, but it is unwieldy — nested radicals.

    P(cos 27°, sin 27°) ≈ (0.8910, 0.4540)

    xyOP

    P(cos 27°, sin 27°) ≈ (0.8910, 0.4540)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.4540.

    All four functions of 27°
    FunctionExact valueDecimal
    sin 27°—≈ 0.4540
    cos 27°—≈ 0.8910
    tan 27°—≈ 0.5095
    cot 27°—≈ 1.9626

    See Also

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    https://calculat.io/en/number/trigonometry/sin--27Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--27">Sin 27 Degrees: Sine of 27° on the Unit Circle - Calculatio</a>Copy
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    Sin 27 Degrees: Sine of 27° on the Unit Circle. sin 27° ≈ 0.4540. The sine is the y-coordinate of the point at 27° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--27/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    24°≈ 0.4067
    25°≈ 0.4226
    26°≈ 0.4384
    27°≈ 0.4540
    28°≈ 0.4695
    29°≈ 0.4848
    30°1/2
    Recalculate with different values ↑

    FAQ

    What is sin 27°?

    sin 27° ≈ 0.4540

    Is there an exact value of sin 27°?

    Yes: 27° is a multiple of 3°, and the values of such angles can be written with square roots — but the expression is unwieldy, with nested radicals built from the values of 18° and 15° (3° = 18° − 15°). In practice the decimal is used: sin 27° ≈ 0.4540.

    Why does a calculator show 0.9564 for sin 27?

    The calculator is in radian mode (RAD): it takes sin 27 as the sine of 27 radians, sin 27 rad ≈ 0.9564. Switch it to degrees (DEG): sin 27° ≈ 0.4540. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also