Feedback form
Hi! What do you think?

Drag it here or paste with Ctrl+V

    You can also email us on infocalculat.io

    Cos 160 Degrees

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

    What is cos 160°?

    Answer

    cos 160° ≈
    −0.9397

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

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

    cos 160° = cos(180° − 20°) = −cos 20° ≈ −0.9397

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

    xyOP

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

    Highlighted: the projection on the x-axis — cosine, x ≈ −0.9397.

    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: cos 20° ≈ 0.9397

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/trigonometry/cos--160Copy
    <a href="https://calculat.io/en/number/trigonometry/cos--160">Cos 160 Degrees: Cosine of 160° on the Unit Circle</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    Cos 160 Degrees: Cosine of 160° on the Unit Circle. cos 160° ≈ −0.9397. The cosine is the x-coordinate of the point at 160° on the unit circle; 160° reduces to 20°.
    https://calculat.io/en/number/trigonometry/cos--160/generated.jpgCopy

    Cosine of nearby angles

    Anglecos
    145°≈ −0.8192
    150°−√3/2
    159°≈ −0.9336
    160°≈ −0.9397
    162°−√(10 + 2√5)/4
    164°≈ −0.9613
    165°−(√6 + √2)/4
    Recalculate with different values ↑

    FAQ

    What is cos 160°?

    cos 160° ≈ −0.9397

    Why does cos 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: cos 160° ≈ −0.9397.

    Why does a calculator show −0.9756 for cos 160?

    The calculator is in radian mode (RAD): it takes cos 160 as the cosine of 160 radians, cos 160 rad ≈ −0.9756. Switch it to degrees (DEG): cos 160° ≈ −0.9397. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also