Alanna M.
asked • 03/25/20Determine the exact value of the following expression. sin(67°30′)
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1 Expert Answer
Mark M. answered • 03/25/20
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Retired math prof. Very extensive Precalculus tutoring experience.
67°30' = 67.5° = (1/2)(135°)
So, using the half-angle identity for sine, we have sin67°30' = sin[135°/2] = √[[1 - cos135°}/2] = √[(1 +√2/2)/2]
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Mark M.
sin 67 degrees 30 minutes does not have an exact value. It is an irrational value.03/25/20