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    Sin 130 Degrees

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

    What is sin 130°?

    Answer

    sin 130° ≈
    0.7660

    Angle in radians: 130° = 13π/18. The point of the angle is in quadrant II, where sine is positive.

    ≈ — rounded to 4 decimal places. sin 130° can't be written with square roots: 130° is not a multiple of 3°.

    sin 130° = sin(180° − 50°) = sin 50° ≈ 0.7660

    P(cos 130°, sin 130°) ≈ (−0.6428, 0.7660)

    xyOP

    P(cos 130°, sin 130°) ≈ (−0.6428, 0.7660)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.7660.

    All four functions of 130°
    FunctionExact valueDecimal
    sin 130°—≈ 0.7660
    cos 130°—≈ −0.6428
    tan 130°—≈ −1.1918
    cot 130°—≈ −0.8391

    Reference angle: sin 50° ≈ 0.7660

    See Also

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    https://calculat.io/en/number/trigonometry/sin--130Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--130">Sin 130 Degrees: Sine of 130° on the Unit Circle</a>Copy
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    Sin 130 Degrees: Sine of 130° on the Unit Circle. sin 130° ≈ 0.7660. The sine is the y-coordinate of the point at 130° on the unit circle; 130° reduces to 50°.
    https://calculat.io/en/number/trigonometry/sin--130/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    125°≈ 0.8192
    126°(√5 + 1)/4
    127°≈ 0.7986
    130°≈ 0.7660
    134°≈ 0.7193
    135°√2/2
    140°≈ 0.6428
    Recalculate with different values ↑

    FAQ

    What is sin 130°?

    sin 130° ≈ 0.7660

    Why does sin 130° 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°. 130° is not, so no such exact form exists; the value is used as a decimal: sin 130° ≈ 0.7660.

    Why does a calculator show −0.9301 for sin 130?

    The calculator is in radian mode (RAD): it takes sin 130 as the sine of 130 radians, sin 130 rad ≈ −0.9301. Switch it to degrees (DEG): sin 130° ≈ 0.7660. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also