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    Sin 175 Degrees

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

    What is sin 175°?

    Answer

    sin 175° ≈
    0.0872

    Angle in radians: 175° = 35π/36. The point of the angle is in quadrant II, where sine is positive.

    ≈ — rounded to 4 decimal places. sin 175° can't be written with square roots: 175° is not a multiple of 3°.

    sin 175° = sin(180° − 5°) = sin 5° ≈ 0.0872

    P(cos 175°, sin 175°) ≈ (−0.9962, 0.0872)

    xyOP

    P(cos 175°, sin 175°) ≈ (−0.9962, 0.0872)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.0872.

    All four functions of 175°
    FunctionExact valueDecimal
    sin 175°—≈ 0.0872
    cos 175°—≈ −0.9962
    tan 175°—≈ −0.0875
    cot 175°—≈ −11.4301

    Reference angle: sin 5° ≈ 0.0872

    See Also

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    https://calculat.io/en/number/trigonometry/sin--175Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--175">Sin 175 Degrees: Sine of 175° on the Unit Circle</a>Copy
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    Sin 175 Degrees: Sine of 175° on the Unit Circle. sin 175° ≈ 0.0872. The sine is the y-coordinate of the point at 175° on the unit circle; 175° reduces to 5°.
    https://calculat.io/en/number/trigonometry/sin--175/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    164°≈ 0.2756
    165°(√6 − √2)/4
    167°≈ 0.2250
    175°≈ 0.0872
    179°≈ 0.0175
    180°0
    195°−(√6 − √2)/4
    Recalculate with different values ↑

    FAQ

    What is sin 175°?

    sin 175° ≈ 0.0872

    Why does sin 175° 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°. 175° is not, so no such exact form exists; the value is used as a decimal: sin 175° ≈ 0.0872.

    Why does a calculator show −0.8011 for sin 175?

    The calculator is in radian mode (RAD): it takes sin 175 as the sine of 175 radians, sin 175 rad ≈ −0.8011. Switch it to degrees (DEG): sin 175° ≈ 0.0872. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also