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    Cos 77 Degrees

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

    What is cos 77°?

    Answer

    cos 77° ≈
    0.2250

    Angle in radians: 77° = 77π/180. The point of the angle is in quadrant I, where cosine is positive.

    ≈ — rounded to 4 decimal places. cos 77° can't be written with square roots: 77° is not a multiple of 3°.

    P(cos 77°, sin 77°) ≈ (0.2250, 0.9744)

    xyOP

    P(cos 77°, sin 77°) ≈ (0.2250, 0.9744)

    Highlighted: the projection on the x-axis — cosine, x ≈ 0.2250.

    All four functions of 77°
    FunctionExact valueDecimal
    sin 77°—≈ 0.9744
    cos 77°—≈ 0.2250
    tan 77°—≈ 4.3315
    cot 77°—≈ 0.2309

    See Also

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    https://calculat.io/en/number/trigonometry/cos--77Copy
    <a href="https://calculat.io/en/number/trigonometry/cos--77">Cos 77 Degrees: Cosine of 77° on the Unit Circle</a>Copy
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    Cos 77 Degrees: Cosine of 77° on the Unit Circle. cos 77° ≈ 0.2250. The cosine is the x-coordinate of the point at 77° on the unit circle.
    https://calculat.io/en/number/trigonometry/cos--77/generated.jpgCopy

    Cosine of nearby angles

    Anglecos
    74°≈ 0.2756
    75°(√6 − √2)/4
    76°≈ 0.2419
    77°≈ 0.2250
    78°≈ 0.2079
    79°≈ 0.1908
    80°≈ 0.1736
    Recalculate with different values ↑

    FAQ

    What is cos 77°?

    cos 77° ≈ 0.2250

    Why does cos 77° 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°. 77° is not, so no such exact form exists; the value is used as a decimal: cos 77° ≈ 0.2250.

    Why does a calculator show −0.0310 for cos 77?

    The calculator is in radian mode (RAD): it takes cos 77 as the cosine of 77 radians, cos 77 rad ≈ −0.0310. Switch it to degrees (DEG): cos 77° ≈ 0.2250. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also