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    Cos 63 Degrees

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

    What is cos 63°?

    Answer

    cos 63° ≈
    0.4540

    Angle in radians: 63° = 7π/20. The point of the angle is in quadrant I, where cosine is positive.

    ≈ — rounded to 4 decimal places. An exact form of cos 63° in square roots exists, but it is unwieldy — nested radicals.

    P(cos 63°, sin 63°) ≈ (0.4540, 0.8910)

    xyOP

    P(cos 63°, sin 63°) ≈ (0.4540, 0.8910)

    Highlighted: the projection on the x-axis — cosine, x ≈ 0.4540.

    All four functions of 63°
    FunctionExact valueDecimal
    sin 63°—≈ 0.8910
    cos 63°—≈ 0.4540
    tan 63°—≈ 1.9626
    cot 63°—≈ 0.5095

    See Also

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    https://calculat.io/en/number/trigonometry/cos--63Copy
    <a href="https://calculat.io/en/number/trigonometry/cos--63">Cos 63 Degrees: Cosine of 63° on the Unit Circle</a>Copy
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    Cos 63 Degrees: Cosine of 63° on the Unit Circle. cos 63° ≈ 0.4540. The cosine is the x-coordinate of the point at 63° on the unit circle.
    https://calculat.io/en/number/trigonometry/cos--63/generated.jpgCopy

    Cosine of nearby angles

    Anglecos
    60°1/2
    61°≈ 0.4848
    62°≈ 0.4695
    63°≈ 0.4540
    64°≈ 0.4384
    65°≈ 0.4226
    66°≈ 0.4067
    Recalculate with different values ↑

    FAQ

    What is cos 63°?

    cos 63° ≈ 0.4540

    Is there an exact value of cos 63°?

    Yes: 63° is a multiple of 3°, and the values of such angles can be written with square roots — but the expression is unwieldy, with nested radicals built from the values of 18° and 15° (3° = 18° − 15°). In practice the decimal is used: cos 63° ≈ 0.4540.

    Why does a calculator show 0.9859 for cos 63?

    The calculator is in radian mode (RAD): it takes cos 63 as the cosine of 63 radians, cos 63 rad ≈ 0.9859. Switch it to degrees (DEG): cos 63° ≈ 0.4540. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also