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    Sin 71 Degrees

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

    What is sin 71°?

    Answer

    sin 71° ≈
    0.9455

    Angle in radians: 71° = 71π/180. The point of the angle is in quadrant I, where sine is positive.

    ≈ — rounded to 4 decimal places. sin 71° can't be written with square roots: 71° is not a multiple of 3°.

    P(cos 71°, sin 71°) ≈ (0.3256, 0.9455)

    xyOP

    P(cos 71°, sin 71°) ≈ (0.3256, 0.9455)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.9455.

    All four functions of 71°
    FunctionExact valueDecimal
    sin 71°—≈ 0.9455
    cos 71°—≈ 0.3256
    tan 71°—≈ 2.9042
    cot 71°—≈ 0.3443

    See Also

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    https://calculat.io/en/number/trigonometry/sin--71Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--71">Sin 71 Degrees: Sine of 71° on the Unit Circle - Calculatio</a>Copy
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    Sin 71 Degrees: Sine of 71° on the Unit Circle. sin 71° ≈ 0.9455. The sine is the y-coordinate of the point at 71° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--71/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    68°≈ 0.9272
    69°≈ 0.9336
    70°≈ 0.9397
    71°≈ 0.9455
    72°√(10 + 2√5)/4
    73°≈ 0.9563
    74°≈ 0.9613
    Recalculate with different values ↑

    FAQ

    What is sin 71°?

    sin 71° ≈ 0.9455

    Why does sin 71° 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°. 71° is not, so no such exact form exists; the value is used as a decimal: sin 71° ≈ 0.9455.

    Why does a calculator show 0.9511 for sin 71?

    The calculator is in radian mode (RAD): it takes sin 71 as the sine of 71 radians, sin 71 rad ≈ 0.9511. Switch it to degrees (DEG): sin 71° ≈ 0.9455. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also