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    Cos 355 Degrees

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

    What is cos 355°?

    Answer

    cos 355° ≈
    0.9962

    Angle in radians: 355° = 71π/36. The point of the angle is in quadrant IV, where cosine is positive.

    ≈ — rounded to 4 decimal places. cos 355° can't be written with square roots: 355° is not a multiple of 3°.

    cos 355° = cos(360° − 5°) = cos 5° ≈ 0.9962

    P(cos 355°, sin 355°) ≈ (0.9962, −0.0872)

    xyOP

    P(cos 355°, sin 355°) ≈ (0.9962, −0.0872)

    Highlighted: the projection on the x-axis — cosine, x ≈ 0.9962.

    All four functions of 355°
    FunctionExact valueDecimal
    sin 355°—≈ −0.0872
    cos 355°—≈ 0.9962
    tan 355°—≈ −0.0875
    cot 355°—≈ −11.4301

    Reference angle: cos 5° ≈ 0.9962

    See Also

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    https://calculat.io/en/number/trigonometry/cos--355Copy
    <a href="https://calculat.io/en/number/trigonometry/cos--355">Cos 355 Degrees: Cosine of 355° on the Unit Circle</a>Copy
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    Cos 355 Degrees: Cosine of 355° on the Unit Circle. cos 355° ≈ 0.9962. The cosine is the x-coordinate of the point at 355° on the unit circle; 355° reduces to 5°.
    https://calculat.io/en/number/trigonometry/cos--355/generated.jpgCopy

    Cosine of nearby angles

    Anglecos
    341°≈ 0.9455
    342°√(10 + 2√5)/4
    345°(√6 + √2)/4
    355°≈ 0.9962
    360°1
    390°√3/2
    400°≈ 0.7660
    Recalculate with different values ↑

    FAQ

    What is cos 355°?

    cos 355° ≈ 0.9962

    Why does cos 355° 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°. 355° is not, so no such exact form exists; the value is used as a decimal: cos 355° ≈ 0.9962.

    Why does a calculator show −1.0000 for cos 355?

    The calculator is in radian mode (RAD): it takes cos 355 as the cosine of 355 radians, cos 355 rad ≈ −1.0000. Switch it to degrees (DEG): cos 355° ≈ 0.9962. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also