Two angle are supplementary if they add up to 180 degrees
Thus,
6. Find the angle t such that t and the angle 150 50'
23'' are supplementary.
5. Find the solution of
the equation
4. If
![](Major Quiz 7s0025.JPG)
, find
Therefore, the range is
È
(Hint: simplify, then factor)
7. Let x and y be positive real numbers. Write down
the following as a single logarithm:
t = 180 00' 00'' - 150 50' 23'' = 179 59' 60'' - 150
50' 23'' = 29 09' 37'''
---------------------------
So, in the interval
![](Major Quiz 7s0124.JPG
)
there is on zero at x = 0.
The zero at
![](Major Quiz 7s0125.JPG)
and
![](Major Quiz 7s0126.JPG)
are not included since the interval is an open interval.
Figure 1 shows the graph of the function.
zero of the
function are at
Table 1 gives the zeros of the function for some choices
of n
The zero of tan(x) is at multiples of p. Thus,
1. Find the number of zeros of the function
![](
Major Quiz 7s0004.JPG)
in the interval
![](Major Quiz 7s0005.JPG)
.
Answer All Questions! Show all your work!
3. Find the domain and range of the function
What is the period of the function?
<------------------------------------------------------------------
>
interval of interest
Phase shift =
The actual period is
![](Major Quiz 7s0153.JPG
)
because of the absolute value.
The associated function is: