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March 28, 2017

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Find all solutions to 2 sin(theta) = sqrt(2) on the interval 0 less than or equal to theta less than 2 pi


Give your answers as exact values, as a list separated by commas.

  • Precalculus - ,

    2 sinØ = √2
    sinØ = √2/2
    from the 45-45-90 right-angled triangle you should recognize Ø = 45°

    but the sine is positive in the I and II quads
    so Ø = 45° or 135°
    in radians , Ø = π/4 or 3π/4

  • Precalculus - ,

    thanks:)

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