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    Sin 160 Degrees

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

    What is sin 160°?

    Answer

    sin 160° ≈
    0.3420

    Angle in radians: 160° = 8π/9. The point of the angle is in quadrant II, where sine is positive.

    ≈ — rounded to 4 decimal places. sin 160° can't be written with square roots: 160° is not a multiple of 3°.

    sin 160° = sin(180° − 20°) = sin 20° ≈ 0.3420

    P(cos 160°, sin 160°) ≈ (−0.9397, 0.3420)

    xyOP

    P(cos 160°, sin 160°) ≈ (−0.9397, 0.3420)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.3420.

    All four functions of 160°
    FunctionExact valueDecimal
    sin 160°—≈ 0.3420
    cos 160°—≈ −0.9397
    tan 160°—≈ −0.3640
    cot 160°—≈ −2.7475

    Reference angle: sin 20° ≈ 0.3420

    See Also

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    https://calculat.io/en/number/trigonometry/sin--160Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--160">Sin 160 Degrees: Sine of 160° on the Unit Circle</a>Copy
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    Sin 160 Degrees: Sine of 160° on the Unit Circle. sin 160° ≈ 0.3420. The sine is the y-coordinate of the point at 160° on the unit circle; 160° reduces to 20°.
    https://calculat.io/en/number/trigonometry/sin--160/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    145°≈ 0.5736
    150°1/2
    159°≈ 0.3584
    160°≈ 0.3420
    162°(√5 − 1)/4
    164°≈ 0.2756
    165°(√6 − √2)/4
    Recalculate with different values ↑

    FAQ

    What is sin 160°?

    sin 160° ≈ 0.3420

    Why does sin 160° 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°. 160° is not, so no such exact form exists; the value is used as a decimal: sin 160° ≈ 0.3420.

    Why does a calculator show 0.2194 for sin 160?

    The calculator is in radian mode (RAD): it takes sin 160 as the sine of 160 radians, sin 160 rad ≈ 0.2194. Switch it to degrees (DEG): sin 160° ≈ 0.3420. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also