Name: 1. Show the following propositions using a direct proof. (a) Proposition. If a is an odd integer, then a² + 3a + 5 is odd. (b) Proposition. Suppose a, b E Z. If alb then a²|b². (c) Proposition. f(x) = X x² Section: 1 I work is an odd function. (d) Use the identity sin² (x) + cos² (x) = 1, to show the identity tan² (x) + 1 = sec² (x).

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