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    Sin 69 Degrees

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

    What is sin 69°?

    Answer

    sin 69° ≈
    0.9336

    Angle in radians: 69° = 23π/60. The point of the angle is in quadrant I, where sine is positive.

    ≈ — rounded to 4 decimal places. An exact form of sin 69° in square roots exists, but it is unwieldy — nested radicals.

    P(cos 69°, sin 69°) ≈ (0.3584, 0.9336)

    xyOP

    P(cos 69°, sin 69°) ≈ (0.3584, 0.9336)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.9336.

    All four functions of 69°
    FunctionExact valueDecimal
    sin 69°—≈ 0.9336
    cos 69°—≈ 0.3584
    tan 69°—≈ 2.6051
    cot 69°—≈ 0.3839

    See Also

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    https://calculat.io/en/number/trigonometry/sin--69Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--69">Sin 69 Degrees: Sine of 69° on the Unit Circle - Calculatio</a>Copy
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    Sin 69 Degrees: Sine of 69° on the Unit Circle. sin 69° ≈ 0.9336. The sine is the y-coordinate of the point at 69° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--69/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    66°≈ 0.9135
    67°≈ 0.9205
    68°≈ 0.9272
    69°≈ 0.9336
    70°≈ 0.9397
    71°≈ 0.9455
    72°√(10 + 2√5)/4
    Recalculate with different values ↑

    FAQ

    What is sin 69°?

    sin 69° ≈ 0.9336

    Is there an exact value of sin 69°?

    Yes: 69° 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 69° ≈ 0.9336.

    Why does a calculator show −0.1148 for sin 69?

    The calculator is in radian mode (RAD): it takes sin 69 as the sine of 69 radians, sin 69 rad ≈ −0.1148. Switch it to degrees (DEG): sin 69° ≈ 0.9336. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also