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    Sin 101 Degrees

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

    What is sin 101°?

    Answer

    sin 101° ≈
    0.9816

    Angle in radians: 101° = 101π/180. The point of the angle is in quadrant II, where sine is positive.

    ≈ — rounded to 4 decimal places. sin 101° can't be written with square roots: 101° is not a multiple of 3°.

    sin 101° = sin(180° − 79°) = sin 79° ≈ 0.9816

    P(cos 101°, sin 101°) ≈ (−0.1908, 0.9816)

    xyOP

    P(cos 101°, sin 101°) ≈ (−0.1908, 0.9816)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.9816.

    All four functions of 101°
    FunctionExact valueDecimal
    sin 101°—≈ 0.9816
    cos 101°—≈ −0.1908
    tan 101°—≈ −5.1446
    cot 101°—≈ −0.1944

    Reference angle: sin 79° ≈ 0.9816

    See Also

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    https://calculat.io/en/number/trigonometry/sin--101Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--101">Sin 101 Degrees: Sine of 101° on the Unit Circle</a>Copy
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    Sin 101 Degrees: Sine of 101° on the Unit Circle. sin 101° ≈ 0.9816. The sine is the y-coordinate of the point at 101° on the unit circle; 101° reduces to 79°.
    https://calculat.io/en/number/trigonometry/sin--101/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    97°≈ 0.9925
    98°≈ 0.9903
    100°≈ 0.9848
    101°≈ 0.9816
    105°(√6 + √2)/4
    106°≈ 0.9613
    108°√(10 + 2√5)/4
    Recalculate with different values ↑

    FAQ

    What is sin 101°?

    sin 101° ≈ 0.9816

    Why does sin 101° 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°. 101° is not, so no such exact form exists; the value is used as a decimal: sin 101° ≈ 0.9816.

    Why does a calculator show 0.4520 for sin 101?

    The calculator is in radian mode (RAD): it takes sin 101 as the sine of 101 radians, sin 101 rad ≈ 0.4520. Switch it to degrees (DEG): sin 101° ≈ 0.9816. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also