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    Sin 106 Degrees

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

    What is sin 106°?

    Answer

    sin 106° ≈
    0.9613

    Angle in radians: 106° = 53π/90. The point of the angle is in quadrant II, where sine is positive.

    ≈ — rounded to 4 decimal places. sin 106° can't be written with square roots: 106° is not a multiple of 3°.

    sin 106° = sin(180° − 74°) = sin 74° ≈ 0.9613

    P(cos 106°, sin 106°) ≈ (−0.2756, 0.9613)

    xyOP

    P(cos 106°, sin 106°) ≈ (−0.2756, 0.9613)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.9613.

    All four functions of 106°
    FunctionExact valueDecimal
    sin 106°—≈ 0.9613
    cos 106°—≈ −0.2756
    tan 106°—≈ −3.4874
    cot 106°—≈ −0.2867

    Reference angle: sin 74° ≈ 0.9613

    See Also

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    https://calculat.io/en/number/trigonometry/sin--106Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--106">Sin 106 Degrees: Sine of 106° on the Unit Circle</a>Copy
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    Sin 106 Degrees: Sine of 106° on the Unit Circle. sin 106° ≈ 0.9613. The sine is the y-coordinate of the point at 106° on the unit circle; 106° reduces to 74°.
    https://calculat.io/en/number/trigonometry/sin--106/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    100°≈ 0.9848
    101°≈ 0.9816
    105°(√6 + √2)/4
    106°≈ 0.9613
    108°√(10 + 2√5)/4
    110°≈ 0.9397
    120°√3/2
    Recalculate with different values ↑

    FAQ

    What is sin 106°?

    sin 106° ≈ 0.9613

    Why does sin 106° 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°. 106° is not, so no such exact form exists; the value is used as a decimal: sin 106° ≈ 0.9613.

    Why does a calculator show −0.7271 for sin 106?

    The calculator is in radian mode (RAD): it takes sin 106 as the sine of 106 radians, sin 106 rad ≈ −0.7271. Switch it to degrees (DEG): sin 106° ≈ 0.9613. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also