Solve sin(x) = 1/4 for -180 less than or equal to x less than or equal to 180?

5 Answers

  • sin x = 1/4

    x = Arcsin (1/4)

    x ≈ 14.48°

    General solution: x = n * 360° + 14.48°, n * 180° – 14.48°

    => [-180°, 180°] :

    x = 14.48°, 165.52°

    Without a calculator :

    x = Arcsin (1/4)

    in [-180°, 180°] :

    x = Arcsin (1/4), 180° – Arcsin (1/4)

  • Sin(x) = 0.25

    x = Sin^-1(0.25)

    x = 14.47…degrees , & 165.52…

  • arcsin(1/4) and π-arcsin(1/4)

    convert both to degrees

  • x = 14•5⁰ , 165•5⁰

  • 14.48 Deg

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