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    Sin 167 Degrees

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

    What is sin 167°?

    Answer

    sin 167° ≈
    0.2250

    Angle in radians: 167° = 167π/180. The point of the angle is in quadrant II, where sine is positive.

    ≈ — rounded to 4 decimal places. sin 167° can't be written with square roots: 167° is not a multiple of 3°.

    sin 167° = sin(180° − 13°) = sin 13° ≈ 0.2250

    P(cos 167°, sin 167°) ≈ (−0.9744, 0.2250)

    xyOP

    P(cos 167°, sin 167°) ≈ (−0.9744, 0.2250)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.2250.

    All four functions of 167°
    FunctionExact valueDecimal
    sin 167°—≈ 0.2250
    cos 167°—≈ −0.9744
    tan 167°—≈ −0.2309
    cot 167°—≈ −4.3315

    Reference angle: sin 13° ≈ 0.2250

    See Also

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    https://calculat.io/en/number/trigonometry/sin--167Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--167">Sin 167 Degrees: Sine of 167° on the Unit Circle</a>Copy
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    Sin 167 Degrees: Sine of 167° on the Unit Circle. sin 167° ≈ 0.2250. The sine is the y-coordinate of the point at 167° on the unit circle; 167° reduces to 13°.
    https://calculat.io/en/number/trigonometry/sin--167/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    162°(√5 − 1)/4
    164°≈ 0.2756
    165°(√6 − √2)/4
    167°≈ 0.2250
    175°≈ 0.0872
    179°≈ 0.0175
    180°0
    Recalculate with different values ↑

    FAQ

    What is sin 167°?

    sin 167° ≈ 0.2250

    Why does sin 167° 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°. 167° is not, so no such exact form exists; the value is used as a decimal: sin 167° ≈ 0.2250.

    Why does a calculator show −0.4756 for sin 167?

    The calculator is in radian mode (RAD): it takes sin 167 as the sine of 167 radians, sin 167 rad ≈ −0.4756. Switch it to degrees (DEG): sin 167° ≈ 0.2250. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also