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    Sin 125 Degrees

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

    What is sin 125°?

    Answer

    sin 125° ≈
    0.8192

    Angle in radians: 125° = 25π/36. The point of the angle is in quadrant II, where sine is positive.

    ≈ — rounded to 4 decimal places. sin 125° can't be written with square roots: 125° is not a multiple of 3°.

    sin 125° = sin(180° − 55°) = sin 55° ≈ 0.8192

    P(cos 125°, sin 125°) ≈ (−0.5736, 0.8192)

    xyOP

    P(cos 125°, sin 125°) ≈ (−0.5736, 0.8192)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.8192.

    All four functions of 125°
    FunctionExact valueDecimal
    sin 125°—≈ 0.8192
    cos 125°—≈ −0.5736
    tan 125°—≈ −1.4281
    cot 125°—≈ −0.7002

    Reference angle: sin 55° ≈ 0.8192

    See Also

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    https://calculat.io/en/number/trigonometry/sin--125Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--125">Sin 125 Degrees: Sine of 125° on the Unit Circle</a>Copy
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    Sin 125 Degrees: Sine of 125° on the Unit Circle. sin 125° ≈ 0.8192. The sine is the y-coordinate of the point at 125° on the unit circle; 125° reduces to 55°.
    https://calculat.io/en/number/trigonometry/sin--125/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    108°√(10 + 2√5)/4
    110°≈ 0.9397
    120°√3/2
    125°≈ 0.8192
    126°(√5 + 1)/4
    127°≈ 0.7986
    130°≈ 0.7660
    Recalculate with different values ↑

    FAQ

    What is sin 125°?

    sin 125° ≈ 0.8192

    Why does sin 125° 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°. 125° is not, so no such exact form exists; the value is used as a decimal: sin 125° ≈ 0.8192.

    Why does a calculator show −0.6160 for sin 125?

    The calculator is in radian mode (RAD): it takes sin 125 as the sine of 125 radians, sin 125 rad ≈ −0.6160. Switch it to degrees (DEG): sin 125° ≈ 0.8192. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also