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    Sin 77 Degrees

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

    What is sin 77°?

    Answer

    sin 77° ≈
    0.9744

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

    ≈ — rounded to 4 decimal places. sin 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 y-axis — sine, y ≈ 0.9744.

    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/sin--77Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--77">Sin 77 Degrees: Sine of 77° on the Unit Circle - Calculatio</a>Copy
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    Sin 77 Degrees: Sine of 77° on the Unit Circle. sin 77° ≈ 0.9744. The sine is the y-coordinate of the point at 77° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--77/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    74°≈ 0.9613
    75°(√6 + √2)/4
    76°≈ 0.9703
    77°≈ 0.9744
    78°≈ 0.9781
    79°≈ 0.9816
    80°≈ 0.9848
    Recalculate with different values ↑

    FAQ

    What is sin 77°?

    sin 77° ≈ 0.9744

    Why does sin 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: sin 77° ≈ 0.9744.

    Why does a calculator show 0.9995 for sin 77?

    The calculator is in radian mode (RAD): it takes sin 77 as the sine of 77 radians, sin 77 rad ≈ 0.9995. Switch it to degrees (DEG): sin 77° ≈ 0.9744. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also