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    Sin 355 Degrees

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

    What is sin 355°?

    Answer

    sin 355° ≈
    −0.0872

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

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

    sin 355° = sin(360° − 5°) = −sin 5° ≈ −0.0872

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

    xyOP

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

    Highlighted: the projection on the y-axis — sine, y ≈ −0.0872.

    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: sin 5° ≈ 0.0872

    See Also

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    https://calculat.io/en/number/trigonometry/sin--355Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--355">Sin 355 Degrees: Sine of 355° on the Unit Circle</a>Copy
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    Sin 355 Degrees: Sine of 355° on the Unit Circle. sin 355° ≈ −0.0872. The sine is the y-coordinate of the point at 355° on the unit circle; 355° reduces to 5°.
    https://calculat.io/en/number/trigonometry/sin--355/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    341°≈ −0.3256
    342°−(√5 − 1)/4
    345°−(√6 − √2)/4
    355°≈ −0.0872
    360°0
    390°1/2
    400°≈ 0.6428
    Recalculate with different values ↑

    FAQ

    What is sin 355°?

    sin 355° ≈ −0.0872

    Why does sin 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: sin 355° ≈ −0.0872.

    Why does a calculator show −0.0000301 for sin 355?

    The calculator is in radian mode (RAD): it takes sin 355 as the sine of 355 radians, sin 355 rad ≈ −0.0000301. Switch it to degrees (DEG): sin 355° ≈ −0.0872. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also