maths Maths Puzzle

Let x be a real number. Which is greater, sin(cos x) or cos(sin x)?

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maths Other Question

Let x, y, n be positive integers, with n > 1. How many solutions are there to the equation xn − yn = 2100? Let a, b, and c be positive real numbers such that abc = 1. Show that a2 + b2 + c2 less than or equal to a3 + b3 + c3.