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    Sin 63 Degrees

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

    What is sin 63°?

    Answer

    sin 63° ≈
    0.8910

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

    ≈ — rounded to 4 decimal places. An exact form of sin 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 y-axis — sine, y ≈ 0.8910.

    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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    <a href="https://calculat.io/en/number/trigonometry/sin--63">Sin 63 Degrees: Sine of 63° on the Unit Circle - Calculatio</a>Copy
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    Sin 63 Degrees: Sine of 63° on the Unit Circle. sin 63° ≈ 0.8910. The sine is the y-coordinate of the point at 63° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--63/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    60°√3/2
    61°≈ 0.8746
    62°≈ 0.8829
    63°≈ 0.8910
    64°≈ 0.8988
    65°≈ 0.9063
    66°≈ 0.9135
    Recalculate with different values ↑

    FAQ

    What is sin 63°?

    sin 63° ≈ 0.8910

    Is there an exact value of sin 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: sin 63° ≈ 0.8910.

    Why does a calculator show 0.1674 for sin 63?

    The calculator is in radian mode (RAD): it takes sin 63 as the sine of 63 radians, sin 63 rad ≈ 0.1674. Switch it to degrees (DEG): sin 63° ≈ 0.8910. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also