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    Cos 101 Degrees

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

    What is cos 101°?

    Answer

    cos 101° ≈
    −0.1908

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

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

    cos 101° = cos(180° − 79°) = −cos 79° ≈ −0.1908

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

    xyOP

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

    Highlighted: the projection on the x-axis — cosine, x ≈ −0.1908.

    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: cos 79° ≈ 0.1908

    See Also

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    https://calculat.io/en/number/trigonometry/cos--101Copy
    <a href="https://calculat.io/en/number/trigonometry/cos--101">Cos 101 Degrees: Cosine of 101° on the Unit Circle</a>Copy
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    Cos 101 Degrees: Cosine of 101° on the Unit Circle. cos 101° ≈ −0.1908. The cosine is the x-coordinate of the point at 101° on the unit circle; 101° reduces to 79°.
    https://calculat.io/en/number/trigonometry/cos--101/generated.jpgCopy

    FAQ

    What is cos 101°?

    cos 101° ≈ −0.1908

    Why does cos 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: cos 101° ≈ −0.1908.

    Why does a calculator show 0.8920 for cos 101?

    The calculator is in radian mode (RAD): it takes cos 101 as the cosine of 101 radians, cos 101 rad ≈ 0.8920. Switch it to degrees (DEG): cos 101° ≈ −0.1908. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.