If 0 and 0-45° are measures of acute
angles and sin 0 = cos (0-45°), find the degree
measure of 0.
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Answer:
Sin (theta) = cos (theta -45)
so, Cos (90-theta) = cos (theta -45) [Cos(90-A) = SinA]
Hence, 90 - theta = theta - 45
so, theta = 135/2 = 67.5°
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