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# Proofs

Pro Problems > Math > Logic > Proofs

# Featured Pro Problems Prove that there is no two digit number which is the product of its digits There are infinitely many angles between 0 and 90 degrees for which sine and cosine values are both rational. Create a proof. Use a proof by induction to predict the value of the sum of the first n perfect squares. Prove by contradiction that the harmonic mean of two positive numbers lies between the two numbers Show that the trig identity given is true for all non-negative integers n. Do a proof by induction to show what the sum of the first n positive integers is. Show that the expression given is an irrational expression Find, with proof, the digits place of a product of consecutive integers  # Full Directory Listing

Cubes and Nine, Ones Place Proof, Product of Digits, Rational Sine and Cosine, Squares Mod Four # Blogs on This Site Reviews and book lists - books we love! The site administrator fields questions from visitors. Like us on Facebook to get updates about new resources