Volume 25
, Issue 2

1989

One of the most difficult problems actuaries face is learning how to answer the question "What do you do?". Unfortunately there is no short answer.

Recall that a real number is called rational if it can be expressed in the form $p/q$ where $p$ and $q$ are integers with $q \neq 0$.

Historians seem to generally agree that the first appearance of something which is recognizably civilization occurred in the southern part of Mesopotamia about 5000 years ago.

$a$ and $b$ are positive integers. Of the following statements, three are true, one is false.

Q.762 Simply the sum
$$\sec(\theta) + \sec(\theta)\sec(2\theta)+ \sec(2\theta)\sec(3\theta) + \cdots + \sec((n-1)\theta)\sec(n\theta)$$

Q.773 Prove that $\tan(36^\circ) \times \tan(72^\circ) = \sqrt{5}.$