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Use the Half-Angle Formula for Sine which follows directly from the Double Angle Formula for Cosine which follows directly from the Sum Formula for Cosine. See Double Angle and Half Angle Formulas for a complete discussion.


SinФ/2 = √{(1-cosФ)/2}
put Ф = 45
sin(22 1/2) = √{(1-1/√2)/2}
               = √{(√2-1)/2√2}
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