Find the exact value of the expression. do not use a calculator.

sec 60° - sin 60°

attached are answer options, if you could show step by step that would be great.

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

Quadrilateral abcd is translated up and to the right, and then rotated about point q. which congruency statement is correct? abcd ≅ wxyz abcd ≅ zyxw abcd ≅ wzyx abcd ≅ zwxy

The prison blows made of cubes which measure 1/2 of a foot on one side what is the volume of the prism