1. Find the measure of the smaller angle formed by the hands of the clock at 8:00. 2. Find all values of x, if x is in the interval [0, 360°) and has the given function value tan x = 1.

3. One formula used by surveyors to determine the distance between two points is d = 0.5b cos(0.5a) / sin(0.5a) , where b is the length of the subtense bar, and is an angle measured. If the length of the subtense bar is 6 meters, and a = 1.3°, find d. Round your answer to the nearest tenth of a meter.
A. d = 276.1 m
B. d = 284.7 m
C. d = 264.4 m
D. d = 259.3 m

4. Find the exact value of s in the given interval that has the given circular function value.
[pi/2 , pi] ; sin s = square root 2 / 2

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?