maths Maths Puzzle

A triangle has two acute angles, A and B. Show that the triangle is right-angled if, and only if, sin2A + sin2B = sin(A + B).

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maths Other Question

how that, for each n greater than or equal to 3, n! can be represented as the sum of n distinct divisors of itself. (For example, 3! = 1 + 2 + 3.) Let n be a positive integer. Prove that n! + 1 is composite for infinitely many values of n.