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    Sin 61 Degrees

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

    What is sin 61°?

    Answer

    sin 61° ≈
    0.8746

    Angle in radians: 61° = 61π/180. The point of the angle is in quadrant I, where sine is positive.

    ≈ — rounded to 4 decimal places. sin 61° can't be written with square roots: 61° is not a multiple of 3°.

    P(cos 61°, sin 61°) ≈ (0.4848, 0.8746)

    xyOP

    P(cos 61°, sin 61°) ≈ (0.4848, 0.8746)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.8746.

    All four functions of 61°
    FunctionExact valueDecimal
    sin 61°—≈ 0.8746
    cos 61°—≈ 0.4848
    tan 61°—≈ 1.8040
    cot 61°—≈ 0.5543

    See Also

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    https://calculat.io/en/number/trigonometry/sin--61Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--61">Sin 61 Degrees: Sine of 61° on the Unit Circle - Calculatio</a>Copy
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    Sin 61 Degrees: Sine of 61° on the Unit Circle. sin 61° ≈ 0.8746. The sine is the y-coordinate of the point at 61° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--61/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    58°≈ 0.8480
    59°≈ 0.8572
    60°√3/2
    61°≈ 0.8746
    62°≈ 0.8829
    63°≈ 0.8910
    64°≈ 0.8988
    Recalculate with different values ↑

    FAQ

    What is sin 61°?

    sin 61° ≈ 0.8746

    Why does sin 61° 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°. 61° is not, so no such exact form exists; the value is used as a decimal: sin 61° ≈ 0.8746.

    Why does a calculator show −0.9661 for sin 61?

    The calculator is in radian mode (RAD): it takes sin 61 as the sine of 61 radians, sin 61 rad ≈ −0.9661. Switch it to degrees (DEG): sin 61° ≈ 0.8746. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also