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    Sin 48 Degrees

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

    What is sin 48°?

    Answer

    sin 48° ≈
    0.7431

    Angle in radians: 48° = 4π/15. The point of the angle is in quadrant I, where sine is positive.

    ≈ — rounded to 4 decimal places. An exact form of sin 48° in square roots exists, but it is unwieldy — nested radicals.

    P(cos 48°, sin 48°) ≈ (0.6691, 0.7431)

    xyOP

    P(cos 48°, sin 48°) ≈ (0.6691, 0.7431)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.7431.

    All four functions of 48°
    FunctionExact valueDecimal
    sin 48°—≈ 0.7431
    cos 48°—≈ 0.6691
    tan 48°—≈ 1.1106
    cot 48°—≈ 0.9004

    See Also

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    https://calculat.io/en/number/trigonometry/sin--48Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--48">Sin 48 Degrees: Sine of 48° on the Unit Circle - Calculatio</a>Copy
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    Sin 48 Degrees: Sine of 48° on the Unit Circle. sin 48° ≈ 0.7431. The sine is the y-coordinate of the point at 48° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--48/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    45°√2/2
    46°≈ 0.7193
    47°≈ 0.7314
    48°≈ 0.7431
    49°≈ 0.7547
    50°≈ 0.7660
    51°≈ 0.7771
    Recalculate with different values ↑

    FAQ

    What is sin 48°?

    sin 48° ≈ 0.7431

    Is there an exact value of sin 48°?

    Yes: 48° 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 48° ≈ 0.7431.

    Why does a calculator show −0.7683 for sin 48?

    The calculator is in radian mode (RAD): it takes sin 48 as the sine of 48 radians, sin 48 rad ≈ −0.7683. Switch it to degrees (DEG): sin 48° ≈ 0.7431. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also