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Simplification of this trigonometric expression: $\tan(1°)×\tan(2°)×\tan(3°)×\tan(4°)×\cdots×\tan(87°)×\tan(88°)×\tan(89°)$

Published on 12 Jan 2025 - 8:34

Asymptotic solutions of a sparsely perturbed recurrence relation

Published on 12 Jan 2025 - 8:40

Prove that a set of nine consecutive integers cannot be partitioned into two subsets with same product

Published on 01 Jan 2025 - 12:10

Algebraic proof that $\det AB = \det A \cdot \det B$ using Leibniz formula for determinants

Published on 11 Jan 2025 - 12:58

Express the following product as a single fraction: $(1+\frac{1}{3})(1+\frac{1}{9})(1+\frac{1}{81})\cdots$

Published on 03 Jan 2025 - 0:54

Find the value of the infinite product $(3)^{\frac{1}{3}} (9)^{\frac{1}{9}} (27)^{\frac{1}{27}}$....

Published on 11 Jan 2025 - 3:49

6 different positive numbers; sum = product

Published on 31 Dec 2024 - 10:57

Solving without induction

Published on 12 Jan 2025 - 17:47

Show that n $\sum_{i=1}^n c_i$ and $\prod_{i=1}^n c_i$ are rational numbers.

Published on 04 Jan 2025 - 21:25

Dospinescu's Inequality

Published on 12 Jan 2025 - 17:34