Math question: In triangle XYZ, angle X measures 60 degrees and angle Y measures 90 degrees. If the angle bisector of angle XYZ intersects side XZ at point P, find the measure of angle XPY.
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What is the value of sin(A) given that cos(A) = 0.6?
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Math Question: Convert the mixed number 3 2/5 into an improper fraction and simplify it. Factorize this resulting fraction. Identify the real number that corresponds to the simplified fraction.