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    Sin 84 Degrees

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

    What is sin 84°?

    Answer

    sin 84° ≈
    0.9945

    Angle in radians: 84° = 7π/15. The point of the angle is in quadrant I, where sine is positive.

    ≈ — rounded to 4 decimal places. An exact form of sin 84° in square roots exists, but it is unwieldy — nested radicals.

    P(cos 84°, sin 84°) ≈ (0.1045, 0.9945)

    xyOP

    P(cos 84°, sin 84°) ≈ (0.1045, 0.9945)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.9945.

    All four functions of 84°
    FunctionExact valueDecimal
    sin 84°—≈ 0.9945
    cos 84°—≈ 0.1045
    tan 84°—≈ 9.5144
    cot 84°—≈ 0.1051

    See Also

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    https://calculat.io/en/number/trigonometry/sin--84Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--84">Sin 84 Degrees: Sine of 84° on the Unit Circle - Calculatio</a>Copy
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    Sin 84 Degrees: Sine of 84° on the Unit Circle. sin 84° ≈ 0.9945. The sine is the y-coordinate of the point at 84° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--84/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    81°≈ 0.9877
    82°≈ 0.9903
    83°≈ 0.9925
    84°≈ 0.9945
    85°≈ 0.9962
    86°≈ 0.9976
    87°≈ 0.9986
    Recalculate with different values ↑

    FAQ

    What is sin 84°?

    sin 84° ≈ 0.9945

    Is there an exact value of sin 84°?

    Yes: 84° 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 84° ≈ 0.9945.

    Why does a calculator show 0.7332 for sin 84?

    The calculator is in radian mode (RAD): it takes sin 84 as the sine of 84 radians, sin 84 rad ≈ 0.7332. Switch it to degrees (DEG): sin 84° ≈ 0.9945. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also