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    Sin 42 Degrees

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

    What is sin 42°?

    Answer

    sin 42° ≈
    0.6691

    Angle in radians: 42° = 7π/30. The point of the angle is in quadrant I, where sine is positive.

    ≈ — rounded to 4 decimal places. An exact form of sin 42° in square roots exists, but it is unwieldy — nested radicals.

    P(cos 42°, sin 42°) ≈ (0.7431, 0.6691)

    xyOP

    P(cos 42°, sin 42°) ≈ (0.7431, 0.6691)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.6691.

    All four functions of 42°
    FunctionExact valueDecimal
    sin 42°—≈ 0.6691
    cos 42°—≈ 0.7431
    tan 42°—≈ 0.9004
    cot 42°—≈ 1.1106

    See Also

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    https://calculat.io/en/number/trigonometry/sin--42Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--42">Sin 42 Degrees: Sine of 42° on the Unit Circle - Calculatio</a>Copy
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    Sin 42 Degrees: Sine of 42° on the Unit Circle. sin 42° ≈ 0.6691. The sine is the y-coordinate of the point at 42° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--42/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    39°≈ 0.6293
    40°≈ 0.6428
    41°≈ 0.6561
    42°≈ 0.6691
    43°≈ 0.6820
    44°≈ 0.6947
    45°√2/2
    Recalculate with different values ↑

    FAQ

    What is sin 42°?

    sin 42° ≈ 0.6691

    Is there an exact value of sin 42°?

    Yes: 42° 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 42° ≈ 0.6691.

    Why does a calculator show −0.9165 for sin 42?

    The calculator is in radian mode (RAD): it takes sin 42 as the sine of 42 radians, sin 42 rad ≈ −0.9165. Switch it to degrees (DEG): sin 42° ≈ 0.6691. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also